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 Class Mean score Freshman Sophomore Junior Senior 726 535 594 436 7.6 7.6 7.5 7.3 (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- 11.306. If sp 2.11, what is the F statistic? (Round your answer to two decimal places.) (c) Give an approximate (from Table E) or exact (from software) P-value. (Enter your answer to four decimal places.)

Explanation / Answer

a) here numerator df=groups -1=k-1=4-1=3

denominator df =N-k==726+535+594+436-4 =2287

b)

for MSE =sp2 =2.112 =4.4521

hence F =MSG/MSE =11.306/4.4521=2.54

c)

for 3,2287 dergee of freeedom for abiove test stat p value =0.0548 ( PLEASE try 0.0549 if this does not work due to rounding)

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