Find the Requested Confidence Interval $\sigma = 13.36$ , Determine A $95.44 \%$

question 17

Multiple Choice

Find the requested confidence interval.
-The data below consists of the test scores of 32 students. Assuming $\sigma = 13.36$ , determine a $95.44 \%$ confidence interval for the population mean.
$\begin{array} { r r r r r r r r } 80 & 74 & 61 & 93 & 96 & 70 & 80 & 64 \\ 51 & 98 & 93 & 87 & 72 & 77 & 84 & 96 \\ 100 & 67 & 71 & 79 & 99 & 85 & 66 & 70 \\ 57 & 75 & 86 & 92 & 94 & 65 & 84 & 91 \end{array}$

• A)\(78.39\) to \(87.39\)
• B) \(69.39\) to \(83.58\)
• C) \(79.49\) to \(89.39\)
• D) \(75.19\) to \(84.63\)

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Definitions:

Expected Return

The projected average amount of profit or loss an investment is anticipated to generate, based on historical performance or probability analysis.

Risk-Free Rate

Risk-free financial gains, usually signified by government securities' yields.

Standard Deviation

A statistical measurement that depicts the variability or spread of a set of data points or investment returns around their mean.

Diversification

An investment strategy aimed at reducing risk by allocating investments among various financial instruments, industries, and other categories.