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

question 40

Multiple Choice

The analysis of the data in Problem 9 resulted in the following output from Excel.
Anova: Single Factor

$\text { SUMMARY }$
$\begin{array}{lrrrr}\hline\text { Groups }&\text { Count } &{\text { Sum }} & {\text { Average }} &{\text { Variance }} \\\hline A&4 & 119 & 29.75 & 12.25 \\B&4 & 100 & 25 & 13.33333 \\C&4 & 94 & 23.5 & 27 \\\hline\end{array}$

$\begin{array}{lrrrrrr}\text { ANOVA }\\\hline \text { Source of Variation } & \text { SS } & d f & M S & F & \text { P-value } & \text { F crit } \\\hline\text { Between Groups } & 85.16667 & 2 & 42.58333 & 2.429477 & 0.143319 & 4.256492 \\\text { Within Groups } & 157.75 & 9 & 17.52778 & & &\\\\\text { Total}& 242.9167&11\\\end{array}$

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.

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Definitions:

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