Find the Confidence Interval Specified $\begin{array} { l l l l l } 5.1 & 4.9 & 4.7 & 3.1 & 4.3 \end{array}$

question 78

Multiple Choice

Find the confidence interval specified.
-Physiologists often use the forced vital capacity as a way to assess a person's ability to move air in and out of their lungs. A researcher wishes to estimate the forced vital capacity of people suffering From asthma. A random sample of 15 asthmatics yields the following data on forced vital capacity,
In liters.
$\begin{array} { l l l l l } 5.1 & 4.9 & 4.7 & 3.1 & 4.3 \end{array}$
$\begin{array} { l l l l l l } 3.7 & 3.7 & 4.3 & 3.5 & 5.2 \end{array}$
$\begin{array} { l l l l l } 3.2 & 3.5 & 4.8 & 4.0 & 5.1 \end{array}$
Use the data to obtain a $95.44 \%$ confidence interval for the mean forced vital capacity for all asthmatics. Assume that $\sigma = 0.7$ .

• A)\(4.11\) to \(4.30\) liters
• B) \(62.74\) to \(63.46\) liters
• C) \(3.85\) to \(4.57\) liters
• D) \(2.81\) to \(5.61\) liters

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Definitions:

Areolar Tissue

A loose connective tissue that provides a supportive and flexible matrix for many organs and structures in the body.

Adipose Tissue

Adipose tissue is a type of connective tissue that stores fat, providing insulation, protection, and energy reserves to the body.

Reticular Tissue

A type of connective tissue that contains reticular fibers, supporting the framework of organs such as the spleen and lymph nodes.

Epidermal Tissue

The outermost layer of cells covering the body, providing protection against the environment.