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 n Mean score

Freshman 728   7.6

Sophomore 535   7.6

Junior   593   7.5

Senior   439 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 = 11.806. If sp = 2.11, 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.) http://www.webassign.net/mintrostat6/a-table-e.gif

Explanation / Answer

There are 4 types of students. Therefore k = 4. df numerator = df1 = k -1 = 4-1 = 3

The total number of students (N) = 728 + 535 + 593 + 439 = 2295. df denominator = df2 = N - k = 2295 - 4 = 2291

(b) F statistic = MSG/Sp = 11.806/2.11 = 5.59

(c) The p value at F = 5.59, for df1 = 3 and df2 = 2291 is 0.0008

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