Test the claim that the samples come from populations with the same mean. assume that the populations are normally distributed with the same variance. identify the hypotheses, test statistic, critical value, p-value, conclusion about the null hypothesis, and the final conclusion that addresses the original claim.

the data below represent the weight loss for people on three different exercise programs.

exercise a

exercise b

exercise c

2.5

5.8

4.3

8.8

4.9

6.2

7.3

1.1

5.8

9.8

7.8

8.1

5.1

1.2

7.9

at the 1% significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs?

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