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

question 29

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.Then $\mu$ _U is ______.

• A)4.5
• B)9
• C)31.5
• D)40
• E)63

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Definitions:

Neuroticism

A personality trait characterized by anxiety, fear, moodiness, worry, envy, frustration, jealousy, and loneliness.

Conscientiousness

A personality trait characterized by diligence, carefulness, and a desire to do a task well, often linked to reliability and self-discipline.

Extroversion

A personality trait characterized by sociability, talkativeness, assertiveness, and high levels of emotional expressiveness.

Openness

A personality trait characterized by an appreciation for new experiences, creativity, and a willingness to explore novel ideas and values.