A Certain Psychological Theory Predicts That Men Want Bigger Families $\text { t-Test: Two-Sample Assuming Equal Variances }$

question 64

Multiple Choice

A certain psychological theory predicts that men want bigger families than women. Kate asked each student in her psychology class how many children he or she considered ideal for a married couple and obtained the Excel results shown below at ? = .05. $\text { t-Test: Two-Sample Assuming Equal Variances }$ $\text { t-Test: Two-Sample Assuming Unequal Variances }$
$\begin{array}{l}\begin{array} {lrlrl} &\text { Men } \\\hline \text { Mean } & 2.4571 \\\text { Variance } & 0.7261 \\\text { Observations } & 35 \\\text { Pooled Variance } & 0.59206 \\\text { Hypothesized Diff } & 0 \\\text { df } & 48 \\\text { t Stat } & 1.364 \\\text { P(Tet) one-tail } & 0.090 \\\text { t Critical one-tail } & 1.677 \\\text { P(T-t) two-tail } & 0.179 \\\text { t Critical fwo-tail } & 2.011 \\\hline\end{array}\begin{array} {rlrl} \text {Women. }& \\\hline 2.1333 & \text { Mean } \\0.2667 & \text { Variance } \\15 & \text { Observations } \\\\& \text { Hypothesized Diff } \\& \text { df } \\& 1 \text { Stat } \\& \text { P(Tet) one-tail } \\& 1 \text { Critical one-tail } \\& \text { P(T }<=\text { t) two-tail } \\& 1 \text { Critical two-tail }\\\hline\end{array}\begin{array} { lrlrl } \text { Men } & \text {Women. } \\\hline2.4571 & 2.1333 \\0.7261 & 0.2667 \\35 & 15 \\\\0 & \\42 & \\1.650 & \\0.053 & \\1.682 & \\0.106 & \\2.018 & \\\hline\end{array}\end{array}$
What conclusion can you draw in a two-tailed test at ? = .05?

• A)Men want larger families on average than women.
• B)Women want larger families on average than men.
• C)We cannot reject the hypothesis of equal population means.
• D)The decision depends on whether or not the variances are equal.