A Researcher Was Interested in Comparing the Amount of Time

question 47

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.

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Definitions:

Derivatives

Financial contracts whose value is based on the performance of an underlying asset, index, or interest rate, used for hedging risks or speculating.

Financially Sound

A description of an entity's state when it has stable financial health, showing both short-term liquidity and long-term solvency.

Financially Distressed

The situation in which a company or individual cannot meet or has difficulty paying off financial obligations.

Financial Risk

The equity risk that comes from the financial policy (i.e., capital structure) of the firm.