A chi-square goodness of fit test for a normal distribution used 40 observations, and the mean and standard deviation were estimated from the sample. The test used six categories. We would use how many degrees of freedom in looking up the critical value for the test?
A)39
B)37
C)5
D)3

Question

Quizplus · Accepted Answer

The degrees of freedom for a chi-square goodness of fit test are calculated as the number of categories minus 1 minus the number of parameters estimated from the sample. Here, with 6 categories and 2 parameters estimated (mean and standard deviation), the degrees of freedom are 6 - 1 - 2 = 3.

A Chi-Square Goodness of Fit Test for a Normal Distribution