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Statistics Midtirms
Statistics Midtirms
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1
A company divides consumers into age groups (18-25, 26-40, 41-60, 60+) and randomly samples 50 people from each group.
Cluster Random Sampling
Systematic Random Sampling
Stratified Random Sampling
Simple Random Sampling
2
A variable whose effect on the response cannot be separated from the effect of the treatments.
Random Variables
Explanatory Variables
Response Variables
Confounding Variables
3
Which of the following best describes dependent events?
Two events are dependent if they cannot occur simultaneously.
Two events are dependent if they can occur simultaneously.
Two events are dependent if an event affects the chances of the other.
Two events are dependent if an event can't occur if another will not occur.
4
Researchers sample 100 students for each year level at a public school to participate in a pilot class.
Simple Random Sampling
Stratified Random Sampling
Systematic Random Sampling
Cluster Random Sampling
5
Although non-random, if used appropriately, this sampling method can be advantageous to specified studies.
Volunteer Sampling
Judgemental Sampling
Convenience Sampling
Random Sampling
6
It is the mean of the random variable.
covariance
expected value
standard deviation
variance
7
It is a variable that attempts to explain differences among responses.
Independent Variable
Confounding Variable
Lurking Variable
Dependent Variable
8
On average, 53% is the passing rate of a nationwide exam. If 2000 applied for the exams, find the z-score if 1150 passed
4.03
4.07
-4.03
-4.07
9
Room Number
Quantitative - Continuous
Qualitative - Nominal
Qualitative - Ordinal
Quantitative - Discrete
10
Which of the following is a mutually exclusive event?
Getting a head in a coin toss and a 2 in a roll of a fair die.
A number being prime and at the same time even.
Getting a correct answer and a wrong answer on the same test.
Getting a high grade and fail the same subject.
11
In how many distinct ways can the word SOLSTICE be arranged?
5040 ways
256 ways
20160 ways
40320 ways
12
The following are Descriptive in nature EXCEPT
Hypothesis Testing
Measures of Dispersion
Percentiles
Measures of Central Tendency
13
The variables include an explanatory variable and a response variable.
Experimental study
Observational study
All of the above.
Sample surveys
14
What is the complement of the event of having a defective item.
Having a less defective item.
Having a non-defective item.
Having a complementary item.
Having a more defective item.
15
What is the variance of the Binomial distribution?
\sqrt{npq}
np
npq
pq
16
This discrete probability distribution is employed when occurrences are randomly distributed in space or time.
Normal Distribution
Poisson Distribution
Binomial Distribution
Exponential Distribution
17
Occurs when the variables are measured incorrectly.
Nonresponse bias
Measurement bias
Response bias
Undercoverage bias
18
How many ways can 6 persons be seated in a circular table?
720 ways
120 ways
719 ways
5040
19
The function of a random variable to a discrete probability distribution
probability density function
probability mass function
continuous probability distribution
cumulative distribution function
20
If a family has three children, find the probability that two out of the three children are girls.
1/8
3/8
1/2
3/4
21
What is the probability of getting an odd number or a number divisible by 3 when you roll a die?
1/3
1/2
1/6
2/3
22
It plots the frequencies of the different data values and then connects the plotted points with straight lines.
Line graph
Histogram
Bar graph
Frequency polygon
23
Provide the sample space for rolling a die.
S = { Heads, Tails}
S = {1, 2, 3, 4, 5, 6}
S = { set of all real numbers}
S = {Odd, Even}
24
On average, a store sells three phones per day. What is the probability of selling at least 4 phones tomorrow?
0.1680
0.3528
0.6472
0.5208
25
These random variables have a countable or countably infinite number of outcomes.
Discrete Random Variables
Continuous Random Variables
26
It is a technique employed to reduce the effects of any confounding variable that may arise in a study.
Replication
Non-Probabilistic Sampling
Sampling method
Randomization
27
A researcher wishes to determine the effect of different brands of fertilizer on plant growth. Determine the Response V.
The plants
Different brands of fertilizer
The plant growth
The researcher
28
A study compared two species of fish, noting their sizes. They sampled 20 of each and concluded: the other is bigger.
Inferential Statistics
Descriptive Statistics
29
When a single die is rolled, what is the probability of getting a number less than 7?
1
5/6
1/6
0
30
A country has 50 districts, and 5 are randomly selected for a nationwide health study. All residents are included.
Stratified Random Sampling
Simple Random Sampling
Systematic Random Sampling
Cluster Random Sampling
31
In a 40-item test, how many possible combinations of answer keys are there given there are four choices for each item?
40^2
4^{40}
2^{40}
40^4
32
What is the formula for the multiplication rule given that one event is dependent to another?
P\left(A∩B\right)=P\left(A\right)+P\left(B\right)-P\left(A∪B\right)
P\left(A∩B\right)=P\left(A\right)\cdot P\left(A\left|B\right|\right)
P\left(A∪B\right)=P\left(A\right)+P\left(B\right)
P\left(A∩B\right)=P\left(A\right)\cdot P\left(B\right)
33
Differentiate permutation from combination.
In combination, order matters. In permutation, order matters sometimes.
Permutations and combinations are the same.
Permutation is selecting objects while combination is about arrangements.
Permutation is arranging taken at r; combination is choosing taken at r.
34
The following are properties of the Normal distribution EXCEPT
The area under the curve sums up to 1.
The graph is asymptotic to the x-axis.
The standard normal curve has a mean of 1 and standard deviation of 1.
The graph is bell-shaped and it is symmetric about the mean
35
Which of the following graphs is best used when dealing with QUALITATIVE DATA?
Histogram
Ogive Graph
Scatter Plot
Pie chart
36
Out of the 500 students, 89% preferred face-to-face classes. What does the 89% refer to?
Descriptive Statistics
Inferential Statistics
37
A company randomly selects 50 out of 500 employees using a random number generator to participate in a survey.
Systematic Random Sampling
Stratified Random Sampling
Cluster Random Sampling
Simple Random Sampling
38
10 workers are to be assigned into 3 jobs, 3 for job 1, 4 for job 2, and 3 for job 3. How many ways can they be assigned
4200 ways
100 ways
302400 ways
100800 ways
39
Which of the following events does not have an equally likely chance of occurring?
Rolling a fair die
A fair coin toss
Drawing a card from a standard deck
Convenience sampling
40
What is the probability of drawing a non-face card in a standard deck of cards?
10/13
3/26
5/13
3/13
41
Likert Scale ( On a scale of one to five)
Qualitative - Nominal
Quantitative - Discrete
Quantitative - Continuous
Qualitative - Ordinal
42
In how many ways can you arrange 5 distinct objects in a line?
24 ways
720 ways
120 ways
3125 ways
43
a process of collecting information from every unit in the target population.
Frame
Sampled population
Census
Population
44
It is the expected value of the square of the difference between the assumed value of the random variable and the mean.
Expected Value
Variance
Mean
Standard deviation
45
It may occur if confusing or leading questions are asked.
Undercoverage bias
Response bias
Measurement bias
Wording effect bias
46
It is within 95% confidence interval that, on average, between 7 - 9 hours of sleep is required.
Descriptive Statistics
Inferential Statistics
47
A librarian selects every 15th book from the checkout log to study reading trends.
Simple Random Sampling
Stratified Random Sampling
Systematic Random Sampling
Cluster Random Sampling
48
Find P\left(z\ge1.56\right)
0.0594
0.0655
0.9406
0.9345
49
Temperature
Quantitative - Continuous
Qualitative - Ordinal
Quantitative - Discrete
Qualitative - Nominal
50
Which of the following is NOT a suggestion to improve your presentation of data?
Provide an appropriate scale of equal intervals for your graphs.
Establish appropriate correlation with the graphs by using the same scale.
When using ordinal data, sort them based on the frequency.
Use minimal designs and contrasting colors in presenting graphs or charts.
51
It is present when one factor produces a different pattern of responses at one level of a second factor than another.
Confounding Variable
Within-treatment variation
Interaction effect
Balanced design
52
What generally happens when you employ non-probabilistic sampling methods?
The data will be represented and approximated accurately.
Tendency of selection biases.
A more cost-efficient and convenient study.
The tendency of response and nonresponse biases.
53
The probability of raining tomorrow is forecasted to be 56%. What is the probability that it will be sunny tomorrow?
100%
44%
56%
50%
54
If a die is rolled and is even, you gain 5 but if it is odd, you lose 2. If an odd shows up twice as an even, find E(x)
Php 3, loss
Php 18, gain
Php 1/3, gain
Php 12, gain
55
Two dice are rolled and the sum of the result is six. What is the probability that at least one of the dice came up a 3?
1/2
2/3
1/5
5/6
56
It is the pdf of the normal distribution.
\frac{1}{σ\sqrt{2\pi}}e^{-\frac{1}{2}\left(\frac{x-μ}{σ}\right)^2}
\frac{μ^xe^{-x}}{x!}
\frac{1}{μ}e^{-\frac{x}{μ}}
\frac{1}{μ-x}
57
The following are properties of the Binomial distribution EXCEPT?
Each trials results in either a success or a failure
It consists of n trials repeated without replacement.
It consists of n trials repeated with replacement.
Each trial is independent of the previous trials.
58
In a coin toss repeated 10 times, what is the probability of getting exactly 5 Heads in all?
0.500
0.1755
0.001
0.2461
59
Which of the following values CANNOT be a probability?
0
1.87\times10^{-4}
-5.67\times10^{-3}
1
60
Are the factor-level combinations used in the experiment.
Levels
Factors
Treatments
Experimental unit
61
A variable whose possible values are outcomes of a random experiment.
Probability distribution
Random Variable
Randomization
Variable
62
When the researchers interviews through phone calls, what bias will probably arise?
Measurement bias
Undercoverage bias
Response bias
Volunteerism
63
In a probability distribution, what is the sum of all the probability for each random variable?
50%
100%
0%
-100%
64
The science of organizing, interpreting, analyzing, and presenting data.
Statistic
Sampling
Probability
Statistics
65
The measure that is associated with how certain an outcome of an activity occurs.
Probability
Sampling Method
Statistics
Hypothesis Testing
66
In drawing a standard 52-deck card, find the probability of drawing A black king or not a red card?
6/13
1/13
1/2
7/13
67
You can choose 5 flavors, 3 toppings (optional), and either a cone or cup. How many ice creams are possible?
50 ways
15 ways
30 ways
40 ways
68
It is often used to plot relative frequencies when the data are nonnumeric.
Line graph
Histogram
Bar graph
Pie chart
69
In a Poisson process, what is meant by lambda (λ) in the formula?
The Euler's number
The average per region of space or period of time
A specified region of space or period of time.
Number of occurrences of a certain event
70
The set of all possible outcomes.
Outcomes
Experiment
Event
Sample Space
71
How many presidents, secretaries, and treasurers can be selected from 20 students
8000 ways
1140 ways
6840 ways
4.055\times10^{17} ways
72
For this type of data, arithmetical operations such as addition and subtraction does not make sense.
Quantitative data
Qualitative data
73
These are procedures involved in inferential statistics EXCEPT?
Regression Analysis
Interval Estimate
Hypothesis Testing
Calculating measures of dispersion
74
When drawing a standard deck of cards, find the probability of drawing a number that is divisible by 3 and a red card.
1/3
3/26
3/13
3/52
75
The table is about the number of days of absence taken by employees. Identify the number of employees 5 absences or less
42 employees
8 employees
34 employees
16 employees
