A chi-square goodness of fit test for a normal distribution used 60 observations, and the mean and standard deviation were estimated from the sample. The test used seven categories. We would use how many degrees of freedom in looking up the critical value for the test?
A)6
B)4
C)59
D)57

Question

Quizplus · Accepted Answer

For a chi-square goodness of fit test where the mean and standard deviation are estimated from the sample, the degrees of freedom are calculated as the number of categories minus 1 minus the number of estimated parameters. Here, with 7 categories and 2 parameters estimated (mean and standard deviation), the degrees of freedom are 7 - 1 - 2 = 4.

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