Solve the Problem $65.2$ Inches and That the Standard Deviation Is $2.8$

question 55

Multiple Choice

Solve the problem.
-A northeastern college has an enrollment of 2835 female students. Records show that the mean height of these students is $65.2$ inches and that the standard deviation is $2.8$ inches. The table shows frequency and relative-frequency data for these heights. If you assume that the distribution of heights is approximately normal, then you can use the table to estimate areas under the associated normal curve (that is, under the normal curve that has parameters $\mu = 65.2$ and $\sigma = 2.8$ ) . Making this assumption, estimate the area under the associated normal curve between 65 and 70 . $\begin{array}{c|c|c}\begin{array}{c}\text { Height } \\\text { (inches) }\end{array} & \text { Freq. } & \begin{array}{c}\text { Relative } \\\text { freq. }\end{array} \\\hline \text { 57-under 58 } & 16 & 0.0056 \\58 \text {-under 59 } & 25 & 0.0088 \\59 \text {-under 60 } & 56 & 0.0198 \\\text { 60-under 61 } & 96 & 0.0339 \\\text { 61-under 62 } & 178 & 0.0628 \\\text { 62-under 63 } & 263 & 0.0928 \\\text { 63-under 64 } & 322 & 0.1136 \\\text { 64-under 65 } & 388 & 0.1369 \\\text { 65-under 66 } & 406 & 0.1432 \\\text { 66-under 67 } & 361 & 0.1273 \\\text { 67-under 68 } & 292 & 0.1030 \\\text { 68-under 69 } & 201 & 0.0709 \\\text { 69-under 70 } & 113 & 0.0399 \\\text { 70-under 71 } & 75 & 0.0265 \\\text { 71-under 72 } & 25 & 0.0088 \\\text { 72-under 73 } & 16 & 0.0056 \\\text { 73-under 74 } & 2 & 0.0007\end{array}$

• A)\(0.1831\)
• B) \(0.4843\)
• C) \(0.5108\)
• D) \(0.6212\)

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Definitions:

Cost of Goods Sold

The total direct costs attributable to the production of goods sold in a company.

Accounts Payable

The amount a company owes to suppliers or vendors for goods or services received that haven't yet been paid for.

Receiving Report

A document used to confirm the receipt of goods delivered, typically matched against the purchase order to ensure accuracy.

Purchase Order

The document authorizing the purchase of inventory from an approved vendor.