A survey looked at the value of recreational sports on college campuses. One of

Question

A survey looked at the value of recreational sports on college campuses. One of the questions asked each student to rate the importance of recreational sports to college satisfaction and success. Responses were on a 10-point scale with 1 indicating total lack of importance and 10 indicating very high importance. The following table summarizes these results:

(a) To compare the mean scores across classes, what are the degrees of freedom for the ANOVA F statistic?

(b) The MSG = 11.306. If sp = 2.11, what is the F statistic? (Round your answer to two decimal places.)
F =

Class                 n         Mean score Freshman
Sophomore
Junior
Senior 722
535
594
438 7.6
7.6
7.5
7.3

Explanation / Answer

Answer:

A survey looked at the value of recreational sports on college campuses. One of the questions asked each student to rate the importance of recreational sports to college satisfaction and success. Responses were on a 10-point scale with 1 indicating total lack of importance and 10 indicating very high importance. The following table summarizes these results:

Class        

        n        

Mean score

Freshman
Sophomore
Junior
Senior

722
535
594
438

7.6
7.6
7.5
7.3

n=722+535+594+438 =2289

(a) To compare the mean scores across classes, what are the degrees of freedom for the ANOVA F statistic?

numerator df   3  

denominator df   2285

(b) The MSG = 11.306. If sp = 2.11, what is the F statistic? (Round your answer to two decimal places.)
MSE = s2

F = 11.306/(2.11*2.11) =2.539476

=2.54 ( two decimals)

Class        

        n        

Mean score

Freshman
Sophomore
Junior
Senior

722
535
594
438

7.6
7.6
7.5
7.3

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