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

Essay

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.
$\begin{array} { l } \text {Exercise A }& \text { Exercise B}& \text { Exercise C}\\\hline2.5&5.8&4.3\\8.8&4.9&6.2\\7.3&1.1&5.8\\9.8&7.8&8.1\\5.1&1.2&7.9\end{array}$

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