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Intro Stats Chapter 6 Flashcards | StudBud
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Intro Stats Chapter 6
Intro Stats Chapter 6
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Questions
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Answers
1
Which rule is required to assume normality for the distribution of the sample mean?
Law of averages
Law of Large Numbers
Central Limit Theorem
Large Counts Condition
2
If the large counts condition fails for sample count or proportion, we can still use z-scores for the probabilities
True
False
3
What is the formula for the mean of the population proprtion
μ
p
n*p
√(n*p*(1-p))
4
If the central limit theorem fails for sample means, we can still use z-scores to calculate the probability
True
False
5
What does μ represent?
Population mean
Sample Count
Population Proportion
Sample Mean
6
Parameters come from
population
sample
7
In a population, p = .50 and n = 100. What is the mean of the sample count?
.50
50
10
100
8
Can the sample proportion be modeled with a normal distribution if n * p = 9
Yes, by large counts condition
No, Central limit theorem fails
Yes, by central limit theorem
No, Large Counts condition fails
9
When the sample size increases....
The sampling variability decreases
The proportion increases
The sample mean decreases
The sampling variability increases
10
What is the formula for the mean of the sample count?
δ/n
x
n*p*(1-p)
n*p
11
What does this symbol represent?
mean of sample proportion
standard deviation of sample proportion
sample proportion
population proportion
12
In a population, p = .72. Given a sample of 742, what is the mean of the sample proportion?
.72 / 742
.28
.72
1
13
What does "x" represent?
mean of the sample count
sample count
population mean
sample mean
14
The central limit theorem says that if the population distribution is not normal, we can assume normality if n is
≥ 30
≥ 10
≥ 500
≥ n * p
15
The national average for gas is $3.40 per gallon. A sample of 50 found the average to be $3.15, which statement is true?
$3.40 and $3.15 are statistics
$3.40 is a parameter and $3.15 is a statistic
$3.40 and $3.15 are parameters
$3.40 is a statistic and $3.15 is a parameter
16
Test scores followed a normal distribution with mean 80 and SD 4. In a sample of 71, what is the SD of the sample mean.
4
4 / √71
80
80 / √4
17
What does the following symbol represent?
Mean of population mean
Mean of sample proportion
Mean of sample mean
Mean of sample count
18
Which rule is required to assume normality for the distribution of the sample count?
Central Limit Theorem
Large counts condition
Law of large numbers
Law of averages
19
If the population distribution is normal, we need the central limit theorem to assume the sample distribution is normal
False
True
20
A biased statistic
Always correctly estimates the parameter
Gives a very different result from different samples
Always over or underestimates the truth (in the same direction)
Gives very similar results from different sample
21
Which rule is required to assume normality for the distribution of the sample proportion?
Large counts condition
Law of averages
Central Limit Theorem
Law of large numbers
22
What does "p" represent?
Sample mean
Population Mean
Population proportion
Sample Proportion
23
Statistics come from
population
sample
24
The standard normal table shows the probabilities to the RIGHT of a z-score
True
False
25
Test scores followed a normal distribution with mean 80 and SD 4. In a sample of 71, what is the mean of the sample mean
4 / √71
4
80 / √4
80
26
What does the following formula calculate?
Normal Distribution
Mean
Standard Deviation
Z-score
27
This formula can be used to calculate
Standard deviation of the sample mean
Standard deviation of the sample proportion
Mean of the sample mean
Standard deviation of the sample count
28
When the sample size increases, the sampling distribution approaches a normal distribution
False
True
