Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. $\begin{array} { c c c }
\text { Exercise A } & \text { Exercise B } & \text { Exercise } \mathbf { C } \
\hline 2.5 & 5.8 & 4.3 \
8.8 & 4.9 & 6.2 \
7.3 & 1.1 & 5.8 \
9.8 & 7.8 & 8.1 \
5.1 & 1.2 & 7.9
\end{array}$
At the 1% significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs?

Question

Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. $\begin{array} { c c c } 
\text { Exercise A } & \text { Exercise B } & \text { Exercise } \mathbf { C } \
\hline 2.5 & 5.8 & 4.3 \
8.8 & 4.9 & 6.2 \
7.3 & 1.1 & 5.8 \
9.8 & 7.8 & 8.1 \
5.1 & 1.2 & 7.9
\end{array}$
 At the 1% significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs?

Quizplus · Accepted Answer

The Answer is Test statistic: F = 1.491. Critical value: F = 6.9266. P-value: p = 0.264.
Fail to reject the claim of equal means. The data do not provide sufficient evidence to conclude that there is a difference in the true mean weight loss produced by the three exercise programs.

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