Question

A researcher measures the amount of high-fat foods (in grams) consumed by 8 rat subjects 1 day, 3 days, and 5 days following the introduction of a high-fat diet. If SSBG = 30 and SSE = 70 for a one-way within-subjects ANOVA, then what is the decision at a .05 level of significance?

reject the null hypothesis

retain the null hypothesis

There is not enough information to answer this question.

Answer 1

ANSWER::

H0: There is no difference between means of three treatments

Ha:There is a difference between means of three treatments

alpah:5%

Test statistic:

ANOVA table

Sorce	df	ss	ms	F cal	F critical	P value
Trts	3-1=2	30	15	4.5	3.4668	0.023634
Residual	21	70	3.333333
Total	8*3=24-1=23	100

F cal=4.5

P value=0.02 < 0.05, we reject the H0.

Hence claim is significant

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