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Collection by: Barbara Illowsky, Ph.D., Susan Dean. E-mail the authors

# Quiz 11: The Chi-Square Distribution

Summary: This module is a quiz containing 10 multiple choice questions covering topics related to the chi-square distribution. This module is part of a set of companion resources to Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

## Exercise 1

As the degrees of freedom increase (and especially when the degrees of freedom are more than 90), the graph of the chi-square distribution looks more and more ______________.

• A. symmetrical
• B. skewed right
• C. skewed left
• D. asymmetrical

## Exercise 2

The expected values are what we have from ______________.

• A. data
• B. sampling
• C. theory
• D. experiments

## Exercise 3

Which test is the correct one to use when determining if the gender of a person is independent of the college major of the person?

• A. Goodness-of-Fit
• B. Test for Independence

## Exercise 4

The Goodness-of-Fit hypothesis test is typically a ______________.

• A. two-tailed test
• B. wagging-tailed test
• C. left-tailed test
• D. right-tailed test

## Exercise 5

What is the relationship between the mean and the standard deviation of the chi-square distribution?

• A. They are the same.
• B. They are inverses of each other.
• C. The standard deviation is twice the mean.
• D. The standard deviation is the square root of 2 times the mean.

## Exercise 6

The Chi-Square Test for Independence is typically a ______________.

• A. left-tailed test
• B. right-tailed test
• C. two-tailed
• D. wagging-tailed

## Exercise 7

Which test is the correct one to use when determining if a class distribution of grades follows the normal distribution?

• A. Goodness-of-Fit
• B. Test for Independence

## Exercise 8

Which test is the correct one to use when determining if the numbers picked in the lottery are randomly selected?

• A. Goodness-of-Fit
• B. Test for Independence

## Exercise 9

Which test is the correct one to use when determining if the religion of a person is related to his/her political party affiliation?

• A. Goodness-of-Fit
• B. Test for Independence

## Exercise 10

An eight-sided die is rolled 160 times. The number of 1’s, 2’s, 3’s, 4’s, 5’s, 6’s, 7’s & 8’s obtained are 24, 36, 15, 17, 9, 22, 18 & 19, respectively. We are testing to see if the die is fair. What is the test statistic for this problem?

• A. 12.7
• B. 21.8
• C. 9.4
• D. 46.3

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