The data below t the losses for people on three different exercise programs. Ass

Question

The data below t the losses for people on three different exercise programs. Assume the populations are normally distributed with the same variance. Exercise Exercise Exercise A 2.5 8.8 7.3 9.8 5.1 4.3 6.2 5.8 8.1 7.9 5.8 4.9 7.8 1.2 In order to test the claim that a difference exists in the true mean weight loss produced by the three exercise programs, StatCrunch generates the following one-way analysis of variance results table ANOVA Table SourcedSS MS F-StatP-value 2 19.665333 9.83266671.491229 0.264 Error 79.124 6.5936667 Total 98.789333 Identify the value of the test statistic. Do not round. QUESTION 2 dentify the P-Value. Do not round. 284 QUESTION 3 At a 1 % significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs? There is not enough evidence to support the claim that a difference exists in the true mean weight loss produced by the three exercise programs. There is not enough evidence to reject the claim that a difference exists in the true mean weight loss produced by the three exercise progran There is enough evidence to support the claim that a difference exists in the true mean weight loss produced by the three exercise programs. O There is enough evidence to reject the claim that a difference exists in the true mean weight loss produced by the three exercise programs.

Explanation / Answer

Ans:

H0:There is no difference in weight loss produced by three excercise programs.

Ha:There exists a difference  in weight loss produced by three excercise programs.(claim)

From the above table:

Test statistic:

F=MS(treatments)/MS(error)=1.491229

df(numerator)=2

df(denominator)=12

p-value=FDIST(1.491229,2,12)=0.264

As,p-value>0.05,we fail to reject null hypothesis.

There is not enough evidence to support the claim that there exists a difference  in weight loss produced by three excercise programs.

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