One Indicator of the Health of Field Mice Is the Length

question 9

Essay

One indicator of the health of field mice is the length of their tails. The following
data on tail length (in mm) were gathered from a representative sample of field mice
near Fairfield, Iowa. A biologist would like to construct a 95% confidence interval
for the population mean tail length of the field mice near Fairfield. $$\begin{array}{l}\text { Tail lengths of field mice } ( \mathrm { mm } )\\\begin{array} { | l | l | l | l | l | l | } \hline 56.1 & 59.1 & 59.2 & 59.3 & 59.5 & 59.7 \\\hline 59.7 & 59.8 & 60.0 & 60.1 & 60.2 & 60.3 \\\hline 60.3 & 60.3 & 60.4 & 60.4 & 60.5 & 60.5 \\\hline 60.6 & 60.6 & 60.7 & 60.8 & 60.9 & 61.4 \\\hline\end{array}\end{array}$$ a) Using a graphical display of your choice, display the data in a way that will allow
you to determine whether it would be appropriate to use a t confidence interval to
estimate the population mean.
b) Using the graphical display from part (a), would you advise that constructing a t
confidence interval is appropriate? Explain the basis of your recommendation.

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Definitions:

Pulse Oximetry

A non-invasive test that measures the oxygen saturation level of the blood to assess respiratory function.

Arterial Blood Gases

A test that measures the oxygen and carbon dioxide levels in the arterial blood, used to assess lung function and gas exchange.

Carbon Monoxide Inhalation

The act of breathing in carbon monoxide gas, which is toxic and can lead to poisoning, causing symptoms like headache, dizziness, and nausea, or even death.

Familial Causes

Factors or conditions related to the family or genetic heritage that contribute to the occurrence of certain diseases or health conditions.