Construct a 95% Z-Interval or a 95% T-Interval About the Population

question 29

Multiple Choice

Construct a 95% Z-interval or a 95% t-interval about the population mean. Assume the data come from a population that
is approximately normal with no outliers.
-Fifteen randomly selected men were asked to run on a treadmill for 6 minutes. After the 6 minutes, their pulses were measured and the following data were obtained:
$\begin{array}{rrrrr}105 & 94 & 98 & 88 & 104 \\\hline 101 & 99 & 85 & 84 & 124 \\\hline 122 & 114 & 97 & 101 & 90\end{array}$

• A) \(( 93.7,107.1 )\); we are \(95 \%\) confident that the mean pulse rate of men after 6 minutes of exercise is between \(93.7\) and \(107.1\) beats per minute.
• B) \(( 94.9,105.9 )\); we are \(95 \%\) confident that the mean pulse rate of men after 6 minutes of exercise is between \(94.9\) and \(105.9\) beats per minute.
• C) \(( 94.2,106.6 )\); we are \(95 \%\) confident that the mean pulse rate of men after 6 minutes of exercise is between \(94.2\) and \(106.6\) beats per minute.
• D) \(( 95.2,105.6 )\); we are \(95 \%\) confident that the mean pulse rate of men after 6 minutes of exercise is between \(95.2\) and \(105.6\) beats per minute.

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Definitions:

Cortex

The outer layer of an organ or structure, such as the cerebral cortex of the brain, which processes sensory information and is crucial for cognitive functions.

Pharyngeal Tonsils

Lymphoid tissue located in the upper part of the throat behind the nose, known commonly as adenoids.

Lymphatic Trunks

Large lymphatic vessels that collect lymph from smaller lymphatic vessels and deliver it to the venous system.

Subclavian Veins

Major veins located under the clavicle that receive blood from the arm and drain into the superior vena cava.