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

question 39

Multiple Choice

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

Anova: Single Factor

$\text { SUMMARY }$
$\begin{array}{lrrrr}\hline\text { Groups }&\text { Count } &{\text { Sum }} & {\text { Average }} &{\text { Variance }} \\\hline A&4 & 108 &27 & 3.333333 \\B&4 & 100 & 25 & 13.33333 \\C&4 &82 & 20.5 & 11.66667 \\\hline\end{array}$

$\begin{array}{lrrrrrr}\text { ANOVA }\\\hline \text { Source of Variation } & \text { SS } & d f & M S & F & \text { P-value } & \text { F crit } \\\hline\text { Between Groups } & 88.66667& 2 & 44.33333&4.694118 &0.040148 & 4.256492\\\text { Within Groups } & 85& 9 & 9.444444 & & &\\\\\text { Total}& 173.6667&11\\\hline\end{array}$

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

• A) The data provide sufficient evidence to conclude that the groups A, B, and C are somehow related.
• B) The data provide sufficient evidence to conclude that the population means of groups A, B, and C are different.
• C) The data provide sufficient evidence to conclude that the population variances of groups A, B, and C are different.
• D) The data do not 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:

PB2

PB2 often refers to a secondary or specific pushbutton in a system, indicating its role or position within a sequence of controls.

Retentive On-Delay

A timing function in control systems that starts counting upon receiving an input signal and retains its timing value across power cycles, activating its output after a set delay.

Retentive Timer

A type of PLC timer that retains its value even after the power is turned off or the controlling logic is no longer true.