A Researcher Was Interested in Comparing the Amount of Time

Essay

A researcher was interested in comparing the amount of time spent watching television by women and by men.Independent 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. $$\begin{array} { c | c } \text { Sample 1 (women) } & \text { Sample 2 (men) } \\\hline \overline { \mathrm { x } } _ { 1 } = 12.4 & \overline { \mathrm { x } } _ { 2 } = 13.6 \\\mathrm {~s} _ { 1 } = 3.9 & \mathrm {~s} _ { 2 } = 5.2 \\\mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17\end{array}$$ Do the data provide sufficient evidence to conclude that the mean time for women is less than the mean time for men? Perform a t-test at the 5% significance level.