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Elementary Statistics: Quiz 11: The Chi-Square Distribution

Module by: Susan Dean, Dr. Barbara Illowsky

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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