Answered: Suppose the accompanying summary…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose the accompanying summary statistics for a measure of social marginality for samples of youths, young adults, adults, and seniors appeared in a research paper. The social marginality score measured actual and perceived social rejection, with higher scores indicating greater social rejection.

Age Group	Youths	Young Adults	Adults	Seniors
Sample Size	109	251	315	31
x	2.00	3.10	3.08	2.81
s	1.57	1.67	1.69	1.86

For purposes of this exercise, assume that it is reasonable to regard the four samples as representative of the U.S. population in the corresponding age groups and that the distributions of social marginality scores for these four groups are approximately normal with the same standard deviation.

Is there evidence that the mean social marginality scores are not the same for all four age groups? Test the relevant hypotheses using

? = 0.01.

Calculate the test statistic and find the P-value. (Round your answer to two decimal places.)

F =

P-value =

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