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Test the Claim That the Samples Come from Populations with the Same

Question 14

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Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-The data below represent the weight losses for people on three different exercise programs.
Exercise A  Exercise B Exercise C2.55.84.38.84.96.27.31.15.89.87.88.15.11.27.9\begin{array} { l } \text {Exercise A }& \text { Exercise B}& \text { Exercise C}\\\hline2.5&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\end{array}

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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