3.10 Quiz 11: the chi-square distribution

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

The expected values are what we have from ______________.

• A

  data

• B

  sampling

• C

  theory

• D

  experiments

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

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

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.

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

• A

  left-tailed test

• B

  right-tailed test

• C

  two-tailed

• D

  wagging-tailed

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

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

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

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