A Researcher Was Interested in Comparing the Number of Hours

question 8

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 $\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|}\hline 2 y & 0.5 & 1.5 & 1.5 & 2.0 & 1.5 & 0.0 & 1.0 & 1.0 & 1.0 & 0.0 & 2.0 & 1.5 & 2.5 & 2.0 & 0.5 & 0.0 & 1.5 & 2.5 \\\hline 3 y & 2.0 & 3.0 & 1.5 & 1.5 & 1.5 & 2.0 & 1.0 & 0.0 & 0.0 & 1.5 & 1.5 & 2.0 & 2.5 & 2.0 & 3.0 & 1.0 & 1.5 & 0.5 \\\hline\end{array}$

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) \(( - 0.98,0.37 )\)
• 18 three-year-olds yielded the follow data.

---

Definitions:

Alzheimer's Disease

A progressive neurological disorder that causes memory loss, cognitive decline, and eventual loss of the ability to carry out everyday activities.

Tau Proteins

Proteins that stabilize microtubules in the brain, abnormal accumulations of which are implicated in various neurodegenerative diseases.

Acetylcholine

A neurotransmitter involved in muscle activation and various cognitive functions in the brain.

Glutamate

A common neurotransmitter that has been linked to memory and to dementia.