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On a survey conducted at a university, students were asked how they felt about their weight (about right, overweight, or underweight), and also were asked to record their grade point average (GPA). There were 234 responses, with 160 saying their weight was about right, 50 said they were overweight, and 17 underweight. The question of interest is whether mean GPA is the same or differs for different weight attitude populations. Minitab output for the study is given below.

-The p-value of 0.008 is found by calculating:
A) the area to the right of 4.98 under an F-distribution with 2 and 232 degrees of freedom.
B) the area to the right of 4.98 under an F-distribution with 2 and 234 degrees of freedom.
C) the area to the right of 4.98 and to the left of -4.98 under an F-distribution with 2 and 232 degrees of freedom.
D) the area to the right of 4.98 and to the left of -4.98 under an F-distribution with 2 and 234 degrees of freedom.

Question

Use the following information for questions:
On a survey conducted at a university, students were asked how they felt about their weight (about right, overweight, or underweight), and also were asked to record their grade point average (GPA). There were 234 responses, with 160 saying their weight was about right, 50 said they were overweight, and 17 underweight. The question of interest is whether mean GPA is the same or differs for different weight attitude populations. Minitab output for the study is given below.
 
-The p-value of 0.008 is found by calculating:
A) the area to the right of 4.98 under an F-distribution with 2 and 232 degrees of freedom. 
B) the area to the right of 4.98 under an F-distribution with 2 and 234 degrees of freedom. 
C) the area to the right of 4.98 and to the left of -4.98 under an F-distribution with 2 and 232 degrees of freedom. 
D) the area to the right of 4.98 and to the left of -4.98 under an F-distribution with 2 and 234 degrees of freedom.

Quizplus · Accepted Answer

The p-value is calculated as the area under the curve of a distribution to the right (or left) of a given value. In this case, it specifically refers to the area to the right of 4.98 under an F-distribution with the given degrees of freedom. The correct degrees of freedom are essential for determining the correct distribution curve, and option A provides a plausible scenario for calculating a p-value of 0.008.

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