The Analysis of the Data in Problem 9 Resulted in the Following

question 18

Multiple Choice

The analysis of the data in Problem 9 resulted in the following output from Excel.

Anova: Single Factor

$\text { SUMMARY }$
$\begin{array}{lrrrr}\hline\text { Groups }&\text { Count } &{\text { Sum }} & {\text { Average }} &{\text { Variance }} \\\hline A&4 & 109 &27.25 & 8.916667 \\B&4 & 100 & 25 & 13.33333 \\C&4 & 94 & 23.5 & 27 \\\hline\end{array}$

$\begin{array}{lrrrrrr}\text { ANOVA }\\\hline \text { Source of Variation } & \text { SS } & d f & M S & F & \text { P-value } & \text { F crit } \\\hline\text { Between Groups } & 28.5 & 2 & 14.25 &0.86802 &0.452161 & 4.256492 \\\text { Within Groups } & 147.75 & 9 & 16.41667 & & &\\\\\text { Total}& 176.25&11\\\hline\end{array}$

If the significance level for the test is 0.05, which conclusion below is correct?

• A) The data do not provide sufficient evidence to conclude that the groups A, B, and C are somehow related.
• B) The data do not provide sufficient evidence to conclude that the population means of groups A, B, and C are different.
• C) The data do not provide sufficient evidence to conclude that the population variances of groups A, B, and C are different.
• D) The data do provide sufficient evidence to conclude that the population means of groups A, B, and C are different.
• E) None of the above.