I am preparing for a quiz and I really need to know how to solve these problems.
ID: 3314261 • Letter: I
Question
I am preparing for a quiz and I really need to know how to solve these problems. Please help and thank you!!!
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 ack of imporancecret ing table Class Freshman Junior Mean score 7.6 7.6 7.5 7.3 724 595 436 Senior (a) To compare the mean scores across classes, what are the degrees of freedom for the ANOVA F statistic? numerator df (b) The MSG-11.906·1f so-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
Ans:
1)
a)As there are 4 treatments or groups(i.e. n=4)
numerator df=n-1=4-1=3
denominator df=N-n=724+536+595+436-4=2291-4=2287
b)sp=root mean square error
sp2=Mean square error(MSE)
F=MSG/MSE=MSG/sp2
F=11.906/2.112=2.67
c)
p-value=Fdist(2.67,3,2287)=0.0458
(with rounding off F to two digits,p-value=0.461)
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