In a test of weight loss? programs, 160 subjects were divided such that 32 subjects followed...

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In a test of weight loss? programs, 160 subjects were dividedsuch that 32 subjects followed each of 5 diets. Each was weighed ayear after starting the diet and the results are in the ANOVA tablebelow. Use a 0.025 significance level to test the claim that themean weight loss is the same for the different diets.
Source of Variation
SS
df
MS
F
?P-value
F crit
Between Groups
554.416
4
138.60402
4.4411
0.001999
2.869395
Within Groups
4837.455]
155
31.20939
Total
5391.871
159
Should the null hypothesis that all the diets have the same meanweight loss be? rejected?
A.
YesYes?,
because the? P-value is
greater thangreater than
the significance level.
B.
YesYes?,
because the? P-value is
less thanless than
the significance level.
C.
NoNo?,
because the? P-value is
less thanless than
the significance level.
D.
NoNo?,
because the? P-value is
greater thangreater than
the significance level.

Source of Variation	SS	df	MS	F	?P-value	F crit
Between Groups	554.416	4	138.60402	4.4411	0.001999	2.869395
Within Groups	4837.455]	155	31.20939
Total	5391.871	159

Answer & Explanation Solved by verified expert

4.4 Ratings (802 Votes)

The correct option is B ie Yesbecause the Pvalue is less than the significance levelThe null and alternative hypothesis for this test aremean weight See Answer

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