Question

In: Statistics and Probability

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

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	723 536 592 436	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 = 9.792. If s_p = 2.15, 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.)

Expert Solution

(a) The degrees of freedom for ONE ANOVA with 'k' groups and 'n' total number of observations -

In the given question the number of groups is and the number of total observations are

(b) Mean square of Group, i.e., is given, and we need to find out the Mean square of Erro in order to calculate the F-statistic.

Since in the question is given and we know that the MSE is given as-

So, the F-statistic is calculated as 2.12

(c) For the given F-statistic the p-value is calculated as-

So, the p-value is calculated as 0.0957

orchestra answered 1 year ago

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