Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-Given the sample data below, test the claim that the populations have the same mean. Use a significance level of 0.05.

$\begin{array} { l }
\text { Brand A}&\text { Brand B}&\text { Brand C }\\hline
n=10 & n=10 & n=10 \
\bar{x}=32.9 & \bar{x}=31.6 & \bar{x}=27.1 \
s^{2}=3.16 & s^{2}=3.04 & s^{2}=4.66
\end{array}$

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.
-Given the sample data below, test the claim that the populations have the same mean. Use a significance level of 0.05.

$\begin{array} { l  } 
\text { Brand A}&\text { Brand B}&\text { Brand C }\\hline
n=10 & n=10 & n=10 \
\bar{x}=32.9 & \bar{x}=31.6 & \bar{x}=27.1 \
s^{2}=3.16 & s^{2}=3.04 & s^{2}=4.66
\end{array}$

Quizplus · Accepted Answer

The Answer is Test statistic:

\mathrm { F } = 25.589

. Critical value:

\mathrm { F } = 3.35

.
Reject the claim of equal means. The different brands do not appear to have the same mean.

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