In hypothesis testing, what is the Type I error?

Incorrectly rejecting a true null hypothesis

What is the purpose of a confidence interval?

To estimate the population parameter with a specified level of confidence

What does the standard deviation represent in a normal distribution?

The spread or variability of the data

If two variables are positively correlated, this means:

As one increases, the other increases

Which of the following is an example of an observational study?

Measuring the heights of a random sample of students

A Type II error is when:

You fail to reject a false null hypothesis

What is the formula for the standard error of the sample mean?

Standard deviation / Sample size

The standard deviation is calculated using:

The deviations from the mean, The mean

What is the purpose of a hypothesis test?

Determine if there is a significant difference between two population means

What does the p-value represent in hypothesis testing?

Probability of observing the data given that the null hypothesis is true

In a hypothesis test, what is the null hypothesis?

The hypothesis that there is no difference between the population means

What makes a survey question biased?

Wording that suggests a desired response

When would you use a chi-square test for independence?

To test the association between two categorical variables

The margin or error depends on:

The confidence level, The population size, The sample size

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AP STATISTICS ALL UNITS

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Questions 30

Answers

1
The five number summary of a box plot consists of:
Min, Q1, median, Q3, range
Mean, SD, min, max, IQR
Min, Q1, median, Q3, max
Mean, median, min, max, IQR
2
Which of the following is NOT a measure of spread?
Mean
Standard deviation
Range
Interquartile range
3
The probability of rolling a 6 on a fair six-sided die is:
1/2
5/6
1/6
1/3
4
In hypothesis testing, what is the Type I error?
Incorrectly accepting a false null hypothesis
Correctly rejecting a true null hypothesis
Incorrectly rejecting a true null hypothesis
Correctly accepting a false null hypothesis
5
In a simple linear regression, the residuals should be:
Randomly scattered around 0
Increasing with x
Decreasing with x
All equal
6
What is the box plot used to display?
The spread of a data set
All of the choices
The range of a data set
The distribution shape of a data set
7
What z score is a 95% confidence interval using?
1.65
2.10
1.96
1.05
8
What is the purpose of a confidence interval?
Determine if there is a significant difference between two population means
To estimate the population parameter with a specified level of confidence
To test a hypothesis about a population proportion
To measure the strength of association between two variables
9
What does the standard deviation represent in a normal distribution?
The most frequently occurring value
The difference between the largest and smallest values
The spread or variability of the data
The average deviation from the mean
10
What are degrees of freedom used for?
Calculating test statistics
Both red and blue
Determining critical values
Neither red nor blue
11
If two variables are positively correlated, this means:
None of the answer choices
As one increases, the other decreases
As one increases, the other increases
There is no linear relationship
12
What is the appropriate measure of center for skewed data?
Median
Range
Mean
Mode
13
Which of the following is an example of an observational study?
Randomly assigning subjects to receive a treatment or a placebo
Measuring the heights of a random sample of students
Assigning diff study methods to groups of students & comparing test scores
Giving a new medication to a group of patients and observing the effects
14
A Type II error is when:
You reject the null and its false
The data have a normal distribution
You reject a true null hypothesis
You fail to reject a false null hypothesis
15
What is the formula for calculating z-score?
(x - μ) * σ
(x + μ) / σ
(x - μ) / σ
(x * μ) / σ
16
What is the formula for the standard error of the sample mean?
Standard deviation × Sample size
Sample size - Standard deviation
Sample size / Standard deviation
Standard deviation / Sample size
17
Which of the following is true about the residuals in a regression analysis?
They should be normally distributed
They represent the difference between the observed and predicted values
All of the above
They should have a mean of zero
18
The standard deviation is calculated using:
The range
The deviations from the mean
The mean
The slope
19
What is the formula for calculating the interquartile range (IQR)?
Q2 - Q1
(Q3 - Q1) / 2
Q3 - Q1
Q3 - Q2
20
What is the purpose of a hypothesis test?
Determine if there is a significant difference between two population means
To summarize and describe data
To measure the strength of association between two variables
To estimate the population parameter with a specified level of confidence
21
What does the p-value represent in hypothesis testing?
Probability of observing the data given that the null hypothesis is true
The probability of making a Type I error
The probability of rejecting the null hypothesis
The probability of accepting the null hypothesis
22
In a hypothesis test, what is the null hypothesis?
The hypothesis that there is an association between the variables
The hypothesis that there is no difference between the population means
The hypothesis that there is no association between the variables
Hypothesis that there is a difference between the population proportions
23
What makes a survey question biased?
Allowing the respondent to remain anonymous
Randomly sampling participants
Using clear and concise language
Wording that suggests a desired response
24
Which type of sampling method is most likely to introduce bias into a sample?
Convenience sampling
Simple random sampling
Stratified random sampling
Systematic sampling
25
A chi-square test for homogeneity compares:
Two population proportions
Several population proportions
None of the answer choices
A population to hypothesized values
26
When would you use a chi-square test for independence?
To test the association between two categorical variables
To test the difference between two population proportions
To compare the means of two independent samples
To test the significance of the slope in a regression analysis
27
In a binomial experiment, which of the following must be true?
Neither red nor blue
Both red and blue
The outcomes are mutually exclusive
The outcomes are independent
28
The margin or error depends on:
The confidence level
The context
The population size
The sample size
29
Which of the following is a measure of spread that is resistant to outliers?
Mean
Interquartile range
Standard deviation
Range
30
In a regression analysis, the variable that is used to predict the value of another variable is called the:
Standard error
Response variable
Explanatory variable
Residual

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