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Final Exam EXST 2201 Part 1
Final Exam EXST 2201 Part 1
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Questions
198
Answers
1
Are there any extreme values in the data set that has the five number summary below?
0.2 and 8.2 are both extreme values as they are outside of the fences.
0.2 because the lower fence is 4.70.
A histogram of this data set does not show any extreme values.
No extreme values because the fences are -1.15 and 9.55,
2
The probability of an event can mean two things:1. The proportion of the population described by the event.2. The chance
True
False
3
Two data sets have the same size, but Data set A has a sum of squares of 97 and Data set B has a sum of squares of 197.
Data set B, because 197 can have more variation than 97.
Data set A, because 97 is closer to zero than 197.
Data set B, because a sum of squares of 197 is bigger than a sum of squares
Data set A, because a sum of squares of 97 is smaller than a sum of square
4
The blood pressure human adults follow a normal distribution with mean 116 millimeters of mer less than or greater than
0.0080
0.9920
0.0040
0.9960
5
In a histogram for continuous data, what characteristic isshownonthex-axisandwhat characteristic is shown on the y-axis?
The frequency of the data values, and the data values in the data set.
The data values in the data set, and the frequency of the data values.
Bins of the data values on the x-axis, and the frequency of the data values
Bins of the data values, and bins of the frequency of the data values.
6
What is the appropriate mathematics to use to find a two-tail area?
An area from the z-table / an area from the z-table .
An area from the z-table + an area from the z-table.
(An area from the z-table) * 2 .
An area from the z-table - an area from the z-table.
7
In the standard normal distribution, what are z-scores used to describe?
Both areas and events.
The area over the event and under the curve.
The event on the x-axis.
The area under the curve.
8
Use the schematic curve and the z-table to find the z-score that bounds the top 2.02% of a population.
+2.05
+2.02
-2.02
+0.9798
9
A new workout app claims that users could burn 350 calories on average per workout session. A local statistics student q
0.14
0.40
0.10
0.20
10
In any boxplot (an example is shown below), the width of the box shows what characteristic of the data values?
The shape of the data values.
The location of the data values.
The count of the data values.
The spread of the data values.
11
What does a larger value for the interquartile range (
IQR
) mean about the data values?
The values of the data values are spread narrower together.
The values of the data values are spread wider apart.
There are fewer data values less than the first quartile (Ǫ1) and greater t
The median is larger.
12
What information does an area under the normal curve give?
The size of the event of interest.
The event being studied.
The probability of an event.
The range of the probability of an event.
13
Use the schematic curve and the
z
-table to find the proportion of a population between
z
= +1.77 and
z
= +1.96?
0.0634
0.0134
0.0384
0.0250
14
In a boxplot of continuous data, what percent of the data values lie inside the box, and what percent of the data values
75%, and 25%.
25%, and 25%.
50%, and 50%.
100%, and 0%.
15
In a recent past year, the scores of students taking the ACT college entrance test were found to be distributed normally
0.2300
0.3409
0.6591
0.0082
16
What is the range of z-scores?
0 < ? < 1
-3 < ? < +3
0 < ? < +∞
–∞ < ? < +∞
17
All normal curves look the same
WHEN
they are plotted on a graph in terms of their mean +/- their standard deviations.
True
False
18
The tread life of a brand of tire is distributed normally with a mean of 60,000 miles and a standard deviation of 1,000
61,000 miles.
61,750 miles.
59,000 miles.
58,250 miles.
19
The mean (µ) is NOT needed to calculate a deviation.
True
False
20
For a side area in the schematic curve, how many lines are drawn and on which side of the curve are they drawn?
Two lines in the same place.
Two lines on the same side.
Two lines on opposite sides.
One line in the middle and one line on one side.
21
The standard error gives the spread of the column of data values.
True
False
22
A new workout app claims that users could burn 350 calories on average per workout session. A local statistics student q
0.10
1.801
2.201
0.05
23
The score of golfers at a local golf course has an unknown distribution with a mean of 79 strokes and a standa
2.000
0.3859
0.9772
0.0228
24
Why is a bigger sample size better than a smaller sample size.
As n gets bigger, the sample average gets closer to the population mean.
More data values provides more support to the statistics.
As n gets bigger, the sample average gets better.
More data values help offset any extreme values.
25
A deviation can never equal zero.
False
True
26
How many normal curves are possible?
Only one normal curve is important.
Many, many, but not an infinite number.
Infinitely many.
One.
27
What is the mean (µ) and standard deviation (σ) of the standard normal distribution (
z
-distribution)?
Mean = 0, and standard deviation = 1.
Mean = any fixed value, and standard deviation = any varying value.
Mean = any value, and standard deviation = 1.
Mean = 1, and standard deviation = 0.
28
The intelligent quotient (IQ) of a human adult can be measured with the Stanford-Binet Intelligence Test where the test
0.0004
0.0006
0.0008
0.0002
29
For a city where the prices of new homes were distributed normally with a mean price of $150,000 and a standard de
0.1703
1.2747
0.8297
0.8413
30
To find resistant statistics, what must be true of the data set?
The data values must be ranked from lowest to highest.
The data set must be checked to make certain that no two data values occupy
The position of the data values must be found in the initial data set.
The data values must be ranked from highest to lowest.
31
A fishery graduate student went fishing in the university lake where the fish were known to be 14 inches long on a
Between 11.15 and 16.85 inches long.
Between 12.14 and 15.85 inches long.
Between 13.34 and 14.65 inches long.
Between 12.92 and 15.07 inches long.
32
Can the standard deviation (σ) be used to find probability?
No, because the average deviation is used.
No, because spread is not needed to find probability.
Yes, it can with a normal curve.
Yes, because it is part of a distribution.
33
The intelligent quotient (IQ) of a human adult can be measured with the Stanford-Binet Intelligence Test where the tes
62.19%
73.24%
26.76%
100%
34
A town in Sweden was known to have long-lived residents with a mean life span of 80 years. To find out if this was still
0.02
0.025
0.05
0.0025
35
Use the schematic curve and the
z
-table to find the
z
-score that separates the bottom 86% of the individuals from the to
z = +1.08
z = -1.08
z = -0.44
z = +0.44
36
Percentiles (
P
k
) (or quartiles (
Ǫ
k
) must always be a data value in the data set.
False
True
37
How is a gap distinguished from an extreme value?
A gap is close to the peak. An extreme value is far from the peak.
A gap is fits as part of the overall shape. An extreme value is outside the
There can be only one gap, while there can be many extreme values
A gap is narrow, an extreme value is wide.
38
How is the sum of squares (
SS
) standardized into variance (σ
2
)?
Sum of squares is the same value as the variance.
Take the square-root of the sum of squares.
Divide by the degrees of freedom.
Divide by the number of data values.
39
Use the schematic curve and the z-table to find the probability of an individual having a z-score greater than -1.55?
0.1212
0.0606
0.9394
0.8788
40
A normal curve can be described with one specific mathematical equation, if the values of the variables are known.
False
True
41
A data value less than the mean has a?
Negative deviation.
Positive deviation.
None of the above.
Left deviation.
42
Why is the
t
-Curve wider than the
z
-Curve?
Because the t-Curve contains less information than the Iz-Curve.
Because the sample standard deviation has a wider spread than the populatio
Because the t-Curve is less accurate than the z-Curve.
Because the area under the t-Curve is greater than one (1).
43
The blood pressure human adults have an unknown distribution with mean 116 millimeters of mercury and standa
0.1587
0.1200
0.8413
0.8800
44
What is the general approach to analyzing the information in a histogram?
First look the peak of the histogram, then look at the tails.
First look at the modality, then look at the symmetry.
First look for the mean, then look for the standard deviation.
First look at the overall shape, then look for exceptions.
45
Which of the following answers is NOT true of a statistical event.
An event lies between -∞ and +∞.
An event is an interval on the x-axis.
An event can be a in the tail, in the body, or on the side of a normal curv
An event is an area under a normal curve.
46
At a local secondary school, the school children were known to run a race with the race times distributed normally wit
424.5 seconds, and 475.5 seconds.
428 seconds, and 472 seconds.
416 seconds, and 484 seconds.
358.5 seconds, and 541.5 seconds.
47
A kindergarten teacher had an incoming class of 28 students that seemed to be both shorter and taller than usual. She me
0.02
0.0025
0.01
0.005
48
The Schematic Curve for
z
-scores, with a second
x-
axis in terms of the mean and standard deviation of the
x-
values, giv
True
False
49
What is the statistical term for all the squared deviations added together?
Sum of squares.
Root mean square.
Standard deviation.
Variance.
50
The range is a reliable measure of spread.
True
False
51
At a local secondary school, the school children were known to run a race with the race times distributed normally wi
355 seconds, and 545 seconds.
352 seconds, and 548 seconds.
0 seconds, and 545 seconds.
368 seconds, and 532 seconds.
52
What is the first quartile (
Ǫ
1
) / third quartile (
Ǫ
3
) in the following ranked set of data (
n
= 15)? (to one decimal plac
14 / 41
13.5 / 40.5
14 / 40
13 / 40
53
The height of fully grown maple trees is distributed normally with mean 87.5 feet and standard deviation 6.25 feet. A ra
Shape is normal. Mean is 87.5 feet. Standard error is 1.80 feet.
Shape is normal. Mean is close to 87.5 feet. Standard error is 2.50 feet.
Shape is not-normal. Mean is 87.5 feet. Standard error is 0.52 feet.
Shape is normal. Mean is greater than 87.5 feet. Standard error is 6.25 fee
54
A boxplot shows location and spread information as does a histogram.
True
False
55
A boxplot is used to display the shape of qualitative data.
False
True
56
What are the critical parameters of a normal curve?
Uni-modal and symmetrical.
Mean (µ) and standard deviation (σ).
Bell shape and an area of 1.
x and y.
57
Percentiles are NOT positional statistics.
False
True
58
What is the shape of the sampling distribution of the sample average for a sample from a normally distributed populatio
Not normal, because the sample size (n) is too small.
Not normal, because the sample size (n) is less than 30.
Normal, because it is the easiest to calculate.
Normal, because the data has the normal shape.
59
When the population standard deviation (σ) is not known, why is the sample standard deviation (
s
>) used to calculate pr
Because both are standard deviations.
Because the sample standard deviation is a component of the population stan
Because the spread of the sample (s) is the best estimate o population (σ).
Because sample standard deviation is the square-root of sample variance.
60
What is the formula for the sum of squares (
SS
)?
Sumofsquares=(x−xbar)2
Sumofsquares=(x−xbar)
Sumofsquares=∑(x)2−∑(xbar)2
Sumofsquares=∑(x−xbar)2
61
What information about a data value is given by its deviation?
How different the data value is from the mean and median.
The mathematical distance and direction from the mean.
The magnitude (absolute value) of the difference between the data value and
The statistical distance and direction from the mean.
62
If knowing any one value in a column of data values, why is knowing the value of the population mean important?
Because the population mean was developed first so it is used most often.
Because the population mean is the first mathematical moment when dealing
Because in the normal distribution, most of the data values are clustered c
Because the population mean is just one value so it is easy to interpret.
63
Which of the answers below are NOT one of the steps to find any percentile (
P
k
)?
Step 3\: Find the Value of the percentile from the ranked data set.
Step 1\: Calculate the Index.
None of the other choices.
Step 2\: Move to the correct Position.
64
x
-Values have no units of measurement associated with them.
True
False
65
What is the appropriate mathematics to use to find a middle body area?
A left area and a right area from the z-table.
A left area from the z-table + a right area from the z-table - 1.
A left area from the z-table - a right area from the z-table.
1 - a left area from the z-table - a right area from the z-table.
66
For the Shapiro-Wilk test for normality, a
P
-value = 0.25 means that the data follow a normal shape.
False
True
67
Select the correct equation for the
t
-Equation.
t=¯¯¯x−μsn
t=¯¯¯x−μα√n
t=¯¯¯x−μs√n
t=¯¯¯x−μs
68
A bigger standard deviation for a data set means the data values are?
Spread wider apart.
Spread narrower together.
Spread more evenly about the mean.
Have a more symmetrical spread.
69
At a local business, it was found that the amount of money spent by the company on employee personal calls was distribu
$598 per month.
$402 per month.
$487 per month.
$412 per month.
70
On a real number line, a change in the mean shifts a normal curve horizontally, and a change in the standard deviation
True
False
71
Use the schematic curve and the z-table to find the probability of an individual in a population following the standard
None of the other answers.
0.5000
A z-score is needed for this calculation.
The mean and standard deviation are needed for this calculation.
72
Are there any extreme values in the ranked set of data below (
n
= 15)?
Both -19 and 90 are extreme values.
There are no extreme values in this data set because all the data values ar
-19 is an extreme value because the lower fence is -27.5.
90 is an extreme value because the upper fence is 81.5.
73
The efficient measure of spread for a column of data is the?
Middle deviation.
Standard deviation.
The average of all the deviation in the data set.
Average deviation.
74
Use the schematic curve and the z-table to find the probability of an individual having a z-score greater than +2.00?
0.9772
0.0500
0.0228
0.0235
75
The intelligent quotient (IQ) of a human adult can be measured with the Stanford-Binet Intelligence Test where the tes
88.86%
44.43%
13.98%
55.57%
76
The z-curve is a graph of what distribution?
The standard normal distribution.
Any normal distribution.
Any bell shaped distribution.
The distribution of frequencies of the data values.
77
Are the two equations below the same equation with one equation just a reorganization of the other equation?
Yes, both equations are the same, just reorganized.
No, one equation solves for z, and the other equation solves for x.
Yes, these equations are the same because they both have the same symbols i
When reorganized again it can be seen that the two equations are not the sa
78
What is the appropriate mathematics to use to find a right body area?
An area from the z-table.
An area from the z-table - an area from the z-table.
1 - An area from the z-table.
An area from the z-table - 1.
79
Why look at a chart to get shape information instead of looking at the data values themselves?
This statement is false, itisalways betteata values directly to get shape i
A chart is needed to summarize the shape chareristic so that we can see it.
Charts are much easier to look at than columns of data.
Statistical computer output will give charts, but not the column of data.
80
In the boxplot below, what is the value of the median?
36.25
27.5
10
40
17.5
81
What is the range of z-scores for the middle 82% of a population that follows the standard normal curve?
Range of z-scores = (+1.28, -1.28) .
Range of z-scores = (-1.34, +1.34) .
Range of z-scores = (-1.96, +1.96) .
Range of z-scores = (-1.28, +1.28) .
82
Please select what is
NOT
the purpose of the Process of Abstraction?
To convert real world information into statistical information.
To choose the appropriate statistical method for the situation.
To find out the correct equation to use to get the answer.
To see how the situation fits into the field of statistics.
83
Regarding a five number summary, what are the fences used for?
To keep the data values together for analysis.
To find the most appropriate min and max.
To give a lower limit and an upper limit on the data values to detect extre
To provide limits in which to use efficient statistics.
84
What is the appropriate denotation for variance?
σ2 for population, s2 for sample
VAR for population, var for sample
μ2 for population, s2 for sample
φ¯ for population, v¯ for sample
85
The sum of squares (
SS
) is what type of measure of spread?
An adjusted measure of spread.
A raw measure of spread.
A normalized measure of spread.
A standardized measure of spread.
86
What is the location of the
t
-Distribution?
The t-distribution has a different mean for every degree of freedom.
The mean of the t-distribution is equal to the mean of the population.
The t-distribution has a mean of zero.
The mean of the t-distribution is dependent on the standard deviation.
87
To calculate variance, statistics does not average the deviations, instead it averages the?
The absolute value of the deviations.
The square-root of the squared deviations.
Squared deviations.
The positive and negative deviations separately.
88
Please select the two most important inferential statistical methods.
Confidence intervals.
Hypothesis tests.
89
For a city where the prices of new homes were distributed normally with a mean price of $150,000 and a standard devi
47.53%
38.88%
88.88%
11.12%
90
Which one of the following answers is NOT correct about standard deviation?
Standarddeviation=√Variance
Standarddeviation2=Variance−
Standarddeviation=√σ2
Standarddeviation=Variance2
91
The blood pressure human adults follow a normal distribution with mean 116 millimeters of mercury and in between
0.9960
0.0080
0.9920
0.0040
92
A kindergarten teacher had an incoming class of 18 students that seemed to be shorter than usual. She measured these st
0.25%
0.05%
5%
2.50%
93
The value of the third quartile (
Ǫ
3
) can be less than the value of the first quartile (
Ǫ
1
).
True
False
94
At a local community college, the length of time it takes for a student to find a parking place was distributed nor
6.0 minutes.
5.26 minutes.
4.8 minutes.
6.2 minutes.
95
In a factory packaging corn chips, the weight of corn chips put into each bag by a dispensing machine was distributed no
48.09 ounces.
48.41 ounces.
48.59 ounces.
48.63 ounces.
96
In a city where the prices of new homes were found to be distributed normally with a mean price of $150,000 and a standa
43.70%
93.75%
1.53%
6.30%
97
Why does the population contain more information than a sample?
The population is the totality of the individuals of interest.
Populations are defined by the researcher, so they have more information.
The population has more data values than a sample.
The population is used to get a sample.
98
What is the appropriate mathematics to use to find a left tail area?
An area from the z-table.
An area from the z-table - 1 .
1 - an area from the z-table.
An area from the z-table - an area from the z-table.
99
The score of golfers at a local golf course has an unknown distribution with a mean of 77 strokes and a standard deviati
92.79%
32.28%
1.46%
7.21%
100
Why do positional statistics work for a data set containing extreme values?
Because the range of position is (0, n), but the range of values is (-∞, ∞)
Because in the tails, a big change in value is usually a small change in po
Because positional statistics are not a very sensitive type of statistics.
Because extreme values occur near the mean where the positions of the data
101
In the frequency table below, what is the cumulative frequencyandthe cumulative relative frequency for the category Jun?
1.0 and 1.0
160.0 and 1.0
35.0 and 0.21875
100% and 100%
102
The mean (µ) is used when thinking about the data values in a column of data because? (select two of the answers below)
A single number is easy to think about.
The mean best represents the values in the column of data.
The mean can be used in advanced statistical methods.
The mean is easier to calculate than the median.
103
A fishery graduate student caught 10 fish in the university lake and calculated their average length. The standard devia
0.10
0.02
0.24
0.04
104
Why is knowing the value of the population mean important?
Because it gives one value that is one of all the data values.
Because it gives one value that is in the middle of all the data values.
Because most research papers and reports require the population mean.
Because it is used so often in statistics and interpretation of statistics.
105
What information is given by a five number summary?
All of these other answers.
It gives the median as a measure of location.
It gives the min and the max as a non-resistant measure of spread.
It gives the quartiles as a resistant measure of spread
106
Only one critical parameter is needed to calculate probability with a normal curve.
True
False
107
Why is it important to look at the shape of a column of data before interpreting any statistics?
To see if the data is unimodal, symmetrical, and without any exceptions.
Because shape determines the location and the spread of the column of data.
Because graphs for shape come first in the computer output.
To see that all data values were included in the statistical analysis.
108
Please select one answer in response to the statement: "We can never know the true value of a population mean".
False, because population data is just another column of data that can be u
True, because population values must be given to us.
False, because the sample average is the same value as the population mean.
True, because we can never see the entire population to do the calculation.
109
Does the sum of squares (
SS
) usually get bigger as more data values are added to the data set?
Yes, because there are more numbers in the data set to sum.
No, because the new data values could have negative squares.
No, because the sum of squares is adjusted for the number of data values in
Yes, because bigger data sets must have bigger sum of squares than smaller
110
Use the schematic curve and the z-table to find the z-score that bounds the top 79.95% of a population.
-0.21
-0.84
+0.21
-0.53
111
The standard normal distribution ( z-distribution) follows the Empirical Rule of statistics.
True
False
112
What is the spread of the
t
-Distribution?
The standard deviation of the t-distribution is equal to the standard devia
The t-distribution has a different spread for every degree of freedom.
The t-distribution has a different spread for every standard deviation.
The t-distribution has a spread of one (1).
113
What type of graph is most appropriate to use to display the shape of qualitative data?
A histogram where the bars do touch each another.
A bar chart where the bars do touch each other.
A bar chart where the bars do not touch each other.
A pie chart where the slices of the pie touch one each other.
114
The appropriate equation to use in
Step 1:
Calculate the Index
of finding a percentile (
P
k
)is shown below.
False
True
115
Use the schematic curve and the z-table to find what z-score separates the bottom 5% of the individuals from the top 95%
z = -1.64
z = +0.95
z = -0.48
z = -2.58
116
In a recent past year, the scores of students taking the ACT college entrance test were found to be distributed normally
1.4700
0.9292
0.6767
0.0708
117
The times to complete a mile long race for boys in a local secondary school was known to be normally distribut
536.8 seconds.
558.7 seconds.
383.3 seconds.
361.3 seconds.
118
A Pareto chart just a bar chart with the bars rearranged from the highest bar to the lowest bar.
True
False
119
Skewness in a histogram is a property of what in the histogram?
The number of peaks.
The extreme values.
The tails.
The peak.
120
In statistics, a deviation applies to only one data value.
True
False
121
The times to complete a mile long race for boys in a local secondary school was known to be normally distributed
478.5 seconds.
400.0 seconds.
0.0 seconds.
460.0 seconds.
122
Use the schematic curve and the
z
-table to find the proportion of a population between
z
= -1.96 and
z
= +1.96?
1.0500
0.9500
0.9750
0.0250
123
The weight of a population of individuals is distributed not-normally with mean 182.4 pounds and standard deviat
Shape is normal. Mean is 182.4 pounds. Standard error is 2.76 pounds.
Shape is normal. Mean is close to 87.5 feet. Standard error is 0.079 pounds
Shape is not-normal. Mean is 182.4 pounds. Standard error is 0.52 pounds.
Shape is normal. Mean is 182.4 pounds. Standard error is 0.47 pounds.
124
What occurs in the
Infer
step?
Finding the appropriate t-value for the situation.
Inferring a population value from a sample value.
The calculations for the method chosen.
Converting real world information into statistical information.
125
What is the appropriate mathematics to use to find a right-side area?
1 - the larger area from the z-table.
A left area from the z-table + a right area from the z-table - 1.
The larger area from the z-table + the smaller area from the z-table.
The larger area from the z-table - the smaller area from the z-table.
126
The sampling distribution of the sample average is important in the science of statistics because it can be used to find
False
True
127
What is the shape of the
t
-Distribution?
The t-curve has a different shape for every degree of freedom.
The t-curve is bell shaped, but not normal shaped.
The t-curve is normal shaped.
The t-curve is uni-modal and skewed.
128
A fishery graduate student caught 10 fish in the university lake that had an average length of 4 inches and a standard d
0.25
0.15
0.20
0.10
129
For a city where the prices of new homes were distributed normally with a mean price of $150,000 and a standard devia
0.5116
0.4884
0.9884
Does not exist
130
A sampling distribution gives the shape, location, and spread of a column of data values.
False
True
131
When denoting a percentile (
P
k
) what does the
k
stand for?
Which percentile is desired, the 0th percentile up through the 100th percen
This is archaic nomenclature, now k is no longer used.
That the data set has been ranked for lowest to highest.
The percentage of data values greater than (to the right of) the percentile
132
The curve below is a normal curve.
False
True
133
Select all steps used in the process to do statistical inference.
Infer.
Theorize.
Analyze.
134
Use the schematic curve and the z-table to find the proportion of a population less than z = -1.96 and greater than z =
0.0500
All of the other answers.
Two times the area in one tail.
This is a two-tail situation so the area of interest = 0.0250 + 0.0250.
135
A new workoutapp claims that users could burn 350 calories on average per workout session. A local statistics student qu
Between 345 and 355 calories burned.
Between 336 and 364 calories burned.
Between 332 and 408 calories burned.
Between 334 and 366 calories burned.
136
Is there a definite, specific relationship between the spread of the sample average and the spread of the data?
Yes,σαvg=σdata√n
Yes,σαvg=σdata
Yes,σαvg=σdatan
No, the two spreads vary with respect to one another.
137
A skewed left shape means that the peak of the histogramisontheleftsideofthehistogramAskewedrightshapemeansthatthepeakof
False
True
138
What are the major tools used in the
Theorize
step?
A probability table.
A transformation equation.
A schematic curve.
139
In a histogram for discrete data, what characteristicisshownonthex-axis, and what characteristic is shown on the y-axis?
Bins of the data values, and the frequency of the data values.
Bins of the data values, and bins of the frequency of the data values.
The frequency of the data values, and the data values in the data set.
The data values in the data set on the x-axis, and the frequency of the dat
140
A data value close to the mean has a?
Large deviation.
Small deviation.
Middle deviation.
No deviation.
141
The area under the standard normal curve = 1.
False
True
142
For a city where the prices of new homes were distributed normally with a mean price of $150,000 and a standard deviatio
82.62%
0.07%
91.24%
8.76%
143
There is only one possible value for the population standard deviation for a given population, . How many possible valu
There are many, many possible values for the sample standard deviation.
There are several possible values for the sample standard deviation, but no
There is only one possible value for the sample standard deviation.
There are the same number of possible values for the sample standard deviat
144
In a beer bottling plant, the volume of beer put in a bottle by a beer filling machine is distributed normally with mea
12.21 liquid ounces.
12.32 liquid ounces.
12.15 liquid ounces.
12.39 liquid ounces.
145
The times to complete a mile long race for boys in a local secondary school was known to be normally distributed with a
361.3 seconds.
536.8 seconds.
558.7 seconds.
383.2 seconds.
146
What are resistant statistics resistant to?
Any possible bias in the data values.
Any minor recording errors in the data set.
The presence of extreme values.
The presence of gaps in the shape .
147
The sampling distribution of the sample average has the same shape, location, and spread as does the data values.
False
True
148
I
s the spread of the sampling distribution of the sample average wider than the spread of the data values.
Yes, always wider.
No, the two spreads are equal.
No, never wider.
Sometimes, depending on certain conditions.
149
In
Step 2
:
Move to the correct position
of finding a percentile (
P
k
), how is the appropriate move decided?
If i is an integer, move up to the next higher data value. If i has a decim
If i is an integer, average that and the next lower data values. If i has a
If i is an integer, average that and the next higher data values. If i has
If k/100 is less than 0.5, move down to the next lower data value. If k/1
150
What is the value of the lower fence, and of the upper fence, in the five number summary below?
5.15, and 7.85
0.2, and 8.2
-1.15, and 9.55
4.70, and 8.30
151
For a city where the prices of new homes were distributed normally with a me
1.2700
0.8297
0.1471
0.1703
152
What is the appropriate denotation for standard deviation?
s population, σ for sample.
σ for population, std for sample.
µ for population, s for sample
σ for population, s for sample.
153
When making a histogram for continuous data, a bin is just a range of possible data values.
True
False
154
Use the schematic curve and the z-table to find the proportion of a population between z = -1.40 and z = +2.40?
0.9110
0.0890
0.0726
0.9192
155
How many data values are less than the value of the third quartile (
Ǫ
3
)?
The middle half (50%) of the data values.
Three quarters (75%)of the data values.
One third (33%) of the data values.
One quarter (25%) of the data values.
156
What makes resistant statistics work?
The data values are divided by their deviation.
They look at the position of the data values, and not at their values.
They weight the data values lower when far from the mean.
They remove the high and low data values to eliminate any extreme values.
157
A restaurant chain has a known satisfaction rating of 8.6 units. A local restaurant owner wants to know how his restaura
The owner would need to collect more satisfaction ratings.
The owner would need an average rating of 8.39 units.
The owner would need an average rating of 8.8 units.
The owner would need an average rating of 8.6 - (0.25*8.6) \= 6.45 units.
158
What type of statistics is used to get sample information?
Descriptive statistics because they involve mathematical calculations.
Inferential statistics because they are more important than descriptive st
Inferential statistics because they infer the population values.
Descriptive statistics because they describe the sample.
159
Why is the sample average important in statistics?
Because it is one number like the population mean, so it is easy to use.
Because it is the best sample estimator for the population mean.
Because the sample average uses the same calculation as the population mean
Because the sample average is the middle of the sample data values.
160
Does the average deviation always equal zero for every data set?
No, because this is not true.
Yes, because the positive and negative deviation cancel each other.
No, because the average deviation equals zero for some data sets, but not f
Yes, because the deviations cluster about the mean.
161
The intelligent quotient (IQ) of a human adult can be measured with the Stanford-Binet Intelligence Test where the test
Cannot be determined with this z-Table.
94.88%
5.12%
2.56%
162
The areas defined in the Empirical Rule of statistics are valid for all normal curves.
True
False
163
Which of the following answers is NOT one of our overall shapes?
A symmetric shape.
A modeless shape.
A skewed shape.
A uniform shape.
164
Standard deviation (σ) is another way to give the width of a normal curve.
True
False
165
For a city where the prices of new homes were distributed normally with a mean price of $150,000 and a standard deviatio
0.1587
0.8185
0.1359
0.1815
166
The
t
-Distribution cannot be used to find the probability of an event.
False
True
167
The sampling distribution of the sample average is the shape, location, and spread of all possible sample averages w
True
False
168
What is the shape of the sampling distribution of the sample average for a sample from a not-normally distributed popula
Not normal, because the data values have not been transformed into a normal
Normal, because the computer automatically transforms the data values.
Not-normal, because the shape of the sample averages is the same as the sh
Normal, because the average is calculated from more than 30 data values.
169
Which of the following answers is NOT an exception when analyzing a histogram?
Any extreme values.
Any gaps or peaks.
Any bimodal shapes.
Any patterns or grouping
170
To make an important decision in life, we want to know what type of information from statistics?
Population information.
Probability information.
Sample information.
Probabilistic information.
171
Use the schematic curve and the
z
-table to find the proportion of a population having a
z
-score less than +0.44?
0.1500
0.5600
0.3300
0.6700
172
Which of the following answers is NOT true about why the Empirical Rule focuses out to (µ±3σ), but not beyond?
There is little information about the data values beyond µ±3σ.
The information beyond µ±3σ is much harder to calculate.
The areas beyond µ±3σ become very small
Over 99% of the information about the data values lie within (µ±3σ ).
173
For a city where the prices of new homes were distributed normally with a mean price of $150,000
0.3264
0.9000
0.6328
0.3472
174
Why does more data values contain more information?
Because calculations are more efficient with more numbers.
Because calculation error is less for bigger numbers.
Using more data values in the statistics gives a better idea of all the dat
The same reason as more words in a paragraph gives more information.
175
The height of men has an unknown distribution with mean 68.2 inches and standard deviation 2.8 inches. A random samp
0.0026
0.7211
0.1587
0.2789
176
The interquartile range (
IQR
) can never be negative.
True
False
177
Use the schematic curve and the z-table to find the proportion of a population between z = -2.33 and z = +2.33?
0.0099
0.9802
0.8389
0.9901
178
The interquartile range (
IQR
) measures the spread of what part of the data set?
Upper half (50%)
Middle half (50%)
Middle majority (90%)
Middle third (33%)
179
Variance (σ
2
) is what type of measure of spread?
A raw measure of spread.
A measure of spread adjusted for bias.
A measure of spread normalized for shape.
A measure of spread standardized for the number of data values.
180
What is the first step in using the
t
-Table?
Choose the correct row for the degrees of freedom.
Choose the correct t-table for your situation.
Choose the correct column for the area in one tail.
Choose the correct t-value in the body of the table.
181
There are an infinite number of standard normal distributions.
False
True
182
Why is the distribution of a data set so important?
Because the distribution tells how the data values are distributed.
Because the distribution can be used to find the probability of an event.
Because distribution is an easy way to look at the shape, location, and spr
Because the distribution describes the data values in the data set.
183
Use the schematic curve and the z-table to find the z-scores that bound the middle 79.95% of a population.
-0.25, +0.25
-1.28, +1.28
-0.21, +0.21
-0.84, +0.84
184
Intelligent Quotient (IQ) scores are standardized for population to have a mean score of 100 and a standard deviation sc
97.72%
2.28%
84.00%
2.00%
185
What occurs in the
Analyze
step?
Inferring a population value from a sample value.
Converting real world information into statistical information.
Finding the appropriate t-value for the situation.
The calculations for the method chosen.
186
Is the average deviation better than the standard deviation (σ)?
Yes, because the average deviation is much quicker to calculate and much ea
No, because the average deviation always equals zero.
Yes, because the average is the most representative value.
No, because the standard deviation is a standardized version of the average
187
Please select all steps in the
General Method
for Solving Problems in Statistics.
Theorize.
Infer.
Analyze.
Abstract.
188
Which of the following answers is NOT one of the first three columns in a frequency table?
Relative Frequency
Cumulative Frequency.
Frequency.
Category.
189
What type of graph is most appropriate to use to display the shape of discrete data?
A mathematical curve such as a bell-shaped curve.
A pie chart where the slices of the pie touch one each other.
A histogram where the bars do touch each another.
A bar chart where the bars do not touch each other.
190
In a recent past year, the scores of students taking the ACT college entrance test were found to be distributed normally
0.5840
0.2810
0.1110
0.4665
191
What type of statistics is used to get population information?
Inferential statistics because they infer the population values.
Inferential statistics because they are more important than descriptive sta
Descriptive statistics because they describe the sample.
Descriptive statistics because they involve mathematical calculations.
192
The score of golfers at a local golf course has an unknown distribution with mean 79 and standard
0.2000
0.0228
0.1293
0.4772
193
The intelligent quotient (IQ) of a human adult can be measured with the Stanford-Binet Intelligence Test where t
2.56%
94.88%
5.12%
97.44%
194
What characteristic of the sampling distribution of the sample average is the Central Limit Theorem concerned with?
Spread of the sample averages.
Location of the sample averages.
Count of the sample averages.
Shape of the sample averages.
195
Why is the probability of an event so important in the science of statistics?
Probability of an event can be used to make a bet.
Probability of an event can be used in advanced statistical methods.
Probability of an event gives the likelihood of the event
Probability of an event can be used to make a better decision.
196
A town in Sweden was known to have long-lived residents with a mean life span of 80 years. To find out if this was stil
Between 77.9 years and 82.1 years.
Between 79.2 years and 80.7 years.
Between 79.7 years and 80.3 years.
Between 76.7 years and 83.3 years.
197
The height of a population of individuals is distributed normally with mean 70 inches and standard deviation 8.19 inc
Shape is normal. Mean is 70 inches. Standard error is 8.19 inches.
Shape is normal. Mean is 70 inches. Standard error is 0.55 inches.
Shape is not-normal. Mean is 70 inches. Standard error is 2.11 inches.
Shape is normal. Mean is 70 inches. Standard error is 2.11 inches.
198
Use the schematic curve and the z-table to find what are the z-scores for the first quartile (Q₁), and for the third qua
(Q₁) is at z = -1.96, and (Q₃) is at z = +1.96 .
(Q₁) is at z = -2.81, and (Q₃) is at z = +2.81 .
(Q₁) is at z = -0.67, and (Q₃) is at z = +0.67 .
(Q₁) is at z = 0.25, and (Q₃) is at z = 0.75 .