A survey looked at the value of recreational sports on college campuses. One of
ID: 3312747 • Letter: A
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?
numerator df =
denominator df =
(b) The MSG = 11.906. If sp = 2.13, 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 724 7.6 Sophomore 535 7.6 Junior 593 7.5 Senior 439 7.3Explanation / Answer
a) here numerator df =categories -1=K-1= 4-1 =3
denominator df = N-k =(724+535+593+439-4)=2287
b) MSE =Sp2 =4.5369
therefore F =MSG/MSE =-11.906/4.5369 =2.62
c) for above test statsitic and (3,2287) degree of freedm ; p value =0.0493 (please try 0.0490 if this does not work due to rounding error )
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