Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 89

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows.
$\begin{array} { c | c } \text { Women } & \text { Men } \\ \overline { \mathrm { x } } _ { 1 } = 11.9 & \mathrm { x } _ { 2 } = 17.1 \\ \mathrm {~s} _ { 1 } = 4.1 & \mathrm {~s} _ { 2 } = 4.8 \\ \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17 \end{array}$
At the 5% significance level, do the data provide sufficient evidence to conclude that the mean time spent watching television by women is less than the mean time spent watching television by men? Use the critical-value approach.

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