State What the Given Confidence Interval Suggests About the Two

question 3

Multiple Choice

State what the given confidence interval suggests about the two population means.
-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. $\begin{array}{r|r}\quad \text { Women } & \text { Men } \\\bar{x}_{1}=12.7 \mathrm{hr} & \bar{x}_{2}=16.4 \mathrm{hr} \\\mathrm{s}_{1}=4.3 \mathrm{hr} & \mathrm{s}_{2}=4.9 \mathrm{hr} \\\mathrm{n}_{1}=14 & \mathrm{n}_{2}=17\end{array}$ Construct a 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ 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) \(- 7.13\) hrs \(< \mu _ { 1 } - \mu _ { 2 } < - 0.27\) hrs
• B) \(- 6.55 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < - 0.85 \mathrm { hrs }\)
• C) \(- 7.41 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 0.01 \mathrm { hrs }\)
• D) \(- 7.25 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < - 0.15 \mathrm { hrs }\)

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Definitions:

Physical Capital

Tangible assets such as buildings, machinery, and equipment used in the production of goods and services.

Variable Cost

Costs that vary directly with the level of production, such as raw materials, labor, and energy used in the manufacturing process.

Long Run

A period in economics during which all factors of production and costs are variable, allowing for the full adjustment to changes.

Fixed Cost

Expenses that do not change with the level of output production, such as rent, salaries, or equipment leases.