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

question 2

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.This is a ______ test, and the critical ______.

• A)one-tailed; value is 1.96
• B)two-tailed; values are ±1.96
• C)one-tailed; value is 1.645
• D)two-tailed; values are ±1.645
• E)one-tailed; value is \(\pm\)1.96

---

Definitions:

Rough-And-Tumble Play

Physical play that involves running, jumping, and play fighting, important for social development.

Socioeconomic Status

An assessment of where a person or family stands in terms of economic and social hierarchy, judged by factors like their income, educational background, and profession.

Redundancy

The inclusion or presence of additional or duplicate elements or information that can serve as a backup or safety feature.

Social Development

The process by which individuals acquire the values, behaviors, and skills necessary to interact effectively with others.