A survey looked at the value of recreational sports on college campuses. One of
ID: 3064154 • 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?
(b) The MSG = 11.206. If sp = 2.14, 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 FreshmanSophomore
Junior
Senior 721
536
593
438 7.6
7.6
7.5
7.3
Explanation / Answer
(a) To compare the mean scores across classes, what are the degrees of freedom for the ANOVA Fstatistic?
Numerator d.f. = 4 – 1 = 3 Because groups are 4. In this degrees of freedom are n-1.
Denominator d.f. = 721 + 536 + 593 + 438 = 2288
(b) The MSG = 11.206. If sp = 2.14, what is the F statistic? (Round your answer to two decimal places.)
F = 11.206 / (2.14)^2
= 2.44
(c) Give an approximate (from Table E) or exact (from software) P-value. (Enter your answer to four decimal places.)
The excel command for this is = FDIST(x,deg_freedom1,deg_freedom2)
= FDIST(2.44,3,2288)
= 0.062649
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.