A Sociologist Wants to Know Whether There Is a Difference

question 55

Essay

A sociologist wants to know whether there is a difference in the mean number of times thatmen and women in the U.S. check their Smartphone during the day. Test the hypothesisthat the mean number of times that men and women in the U.S. check their Smartphoneduring the day is different. Following are the summary statistics:
$\begin{array} { | l | l | } \hline \text { Men } & \text { Women } \\\hline n = 25 & n = 40 \\\hline \bar { x } = 30 \text { checks per day } & \bar { x } = 35 \text { checks per day } \\\hline s = 6 \text { checks per day } & s = 7 \text { checks per day } \\\hline\end{array}$ Assume that all conditions for testing have been met. Be sure to report the null andalternative hypothesis, test statistic, p-value, your decision regarding the null hypothesis,and your conclusion about the original claim. Round all values to the nearest thousandth.

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