A Researcher Wants to Determine Whether the Means of Two $\quad$

question 61

Multiple Choice

A researcher wants to determine whether the means of two independent populations are the same.She has two independent random samples, one from each population, shown in the following table: $\quad$ $\quad$ $\quad$ $\quad$ Sample I $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ Sample II
$\begin{array}{llll|lllll}\hline 11.5 & 15.7 & 22.8 & 22.5 & 12.6 & 13.8 & 17.5 & 10.7 & 13.5 \\12.4 & 25.3 & 16.1 & 25.1 & 14.8 & 11.8 & 14.7 & 10.8 & 12.7\end{array}$

She uses the Mann-Whitney U test and a significance level of 0.05.The appropriate
Decision is ______.

• A)reject the null hypothesis that the two populations have different means
• B)fail to reject the null hypothesis that the two populations have different means
• C)reject the null hypothesis that the two populations have equal means
• D)fail to reject the null hypothesis that the two populations have equal means
• E)do nothing

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Definitions:

Manipulating The Scale

Adjusting the scale on graphs or measurements to emphasize particular aspects of data.

Two-Dimensional Charts

Visual representations of data in two dimensions, commonly used to compare sets of data and illustrate relationships between them.

Different Units

Variables or measurements expressed or conducted in diverse units of measure, requiring conversion or adjustment for comparison or aggregation.

Multiple Charts

Visual representations of data across several different types of charts or graphs, allowing for a comprehensive comparison or analysis.