Source Sum of squares DF Mean square F Groups Error 3240 Total 4450 What are the

Question

Source

Sum of squares

DF

Mean square

F

Groups

Error

3240

Total

4450

What are the degrees of freedom for the F statistic?

A storeowner wishes to compare the average amount of money high school and college students spend on music downloads. He randomly selects 10 students from three different student populations: high school, undergraduate, and graduate. The statistical assumptions required to perform a one-way ANOVA to compare the means of these three groups are reasonable based on the data. A partially completed ANOVA table is provided below.

Source

Sum of squares

DF

Mean square

F

Groups

Error

3240

Total

4450

What are the degrees of freedom for the F statistic?

a 3 and 27 b 2 and 27 c 3 and 30

Explanation / Answer

The F-statistic follows the F-distribution with K1, N K degrees of freedom under the null hypothesis. Here k is 3 and n is 30 so answer is 2 and 27 ie. b.

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