A Researcher Was Interested in Comparing the Number of Hours

question 18

Multiple Choice

A researcher was interested in comparing the number of hours of television watched each day by two-year-olds and three-year-olds. A random sample of 18 two-year-olds and 18 three-year-olds yielded the follow data.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|}\hline 2 y & 0.5 & 1.5 & 1.5 & 2.0 & 1.5 & 0.0 & 1.0 & 1.0 & 1.0 & 0.0 & 2.0 & 1.5 & 2.5 & 2.0 & 0.5 & 0.0 & 1.5 & 2.5 \\\hline 3 y & 2.0 & 3.0 & 1.5 & 1.5 & 1.5 & 2.0 & 1.0 & 0.0 & 0.0 & 1.5 & 1.5 & 2.0 & 2.5 & 2.0 & 3.0 & 1.0 & 1.5 & 0.5 \\\hline\end{array}$

Find a $98 \%$ confidence interval for the difference, $\mu _ { 2 } - \mu _ { 3 }$ , between the mean number of hours for two-year-olds $( 2 y )$ and the mean number of hours for three-year-olds ( $3 y$ ) .

• A) \(( 1.25,1.56 )\)
• B) \(( - 1.56 , - 1.25 )\)
• C) \(( - 0.98 , - 0.37 )\)
• D) \(( - 0.37,0.98 )\)
• E) \(( - 0.98,0.37 )\)

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Definitions:

Usury Laws

Legislation that sets maximum interest rates that can be charged on loans, intended to protect consumers from excessive interest.

Price Ceilings

A legally mandated upper limit on the price that may be charged for a product or service.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a particular price over a specified period.

Quantity Supplied

The measure of goods or services available from producers for sale at a particular price.