Determine Whether the Samples Are Independent or Dependent Construct a 99% Confidence Interval for µ1 - µ2, the Was

question 79

Multiple Choice

Determine whether the samples are independent or dependent.
-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. $$\begin{array} { | l | l | } \hline \text { Women } & \text { Men } \\\hline \overline { \mathrm { x } } _ { 1 } = 12.6 \mathrm { hrs } & \overline { \mathrm { x } } _ { 2 } = 14.0 \mathrm { hrs } \\\mathrm { s } _ { 1 } = 3.9 \mathrm { hrs } & \mathrm { s } _ { 2 } = 5.2 \mathrm { hrs } \\\mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 17 \\\hline\end{array}$$ Construct a 99% confidence interval for µ1 - µ2, the difference between the mean amount of time spent Watching television for women and the mean amount of time spent watching television for men.

• A) \(- 6.04 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.24 \mathrm { hrs }\)
• B) \(- 5.91 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.11 \mathrm { hrs }\)
• C) \(- 5.92 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.12 \mathrm { hrs }\)
• D) \(- 6.05 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 3.25 \mathrm { hrs }\)

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Definitions:

Capacity

The ability or potential a system, person, or organization has to perform, produce, contain, or withstand something.

Prestige Economies

Economic systems where the accumulation and display of wealth is not for personal consumption but to gain status and power within a community.

Social Status

The position or rank of a person or group within the society, often determined by factors like wealth, occupation, education, family background, and power.

Monetary Profit

The financial gain obtained when the revenue generated from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.