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 = 11.606. If sp = 2.12, what is the F statistic? (Round your answer to two decimal places.)
F =  

(c) Give an approximate (from Table E) or exact (from software) P-value. (Enter your answer to four decimal places.)

Class                 n         Mean score Freshman
Sophomore
Junior
Senior 725
536
595
437 7.6
7.6
7.5
7.3

Explanation / Answer

a)from above:  numerator df =groups -1=k-1=4-1=3

denominator df =N-k =725+536+595+437-4=2289

b) MSE =sp2 =2.122 =4.4944

therefore F statistic =MSG/MSE =11.606/4.4944 =2.58

c) for above test statistic and (3,2289) degree of freedom ; p value =0.0520 (please try 0.0518 if that does not work due to rounding error )

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