Use the Normal to Model the Distribution of Sample Means

question 9

Multiple Choice

Use the Normal to model the distribution of sample means.
-A small business ships specialty homemade candies to anywhere in the world. Past
Records indicate that orders weigh an average of 118 grams with a standard deviation of
14 grams. Suppose a random sample of 50 current orders is selected and each weighed
And resulting sample mean is 110 grams. Which of the following statements is true?

• A) This sample mean is about 4 standard deviations above what we expect, a very unusual result.
• B) This sample mean is less than 3 standard deviations away from the population mean.
• C) This sample mean is less than 2 standard deviations away from the population mean.
• D) This sample mean is not an unusual result because it is only 8 grams below the population mean.
• E) This sample mean is about 4 standard deviations below what we expect, a very

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Definitions:

Good Faith Purchaser

An individual who buys property without knowledge of any existing claims or defects against the property, thus legally acquiring clean title.

Warranty of Title

A legal guarantee provided by a seller to a buyer that the seller has the right to transfer ownership and no hidden liens or encumbrances exist.

Risk of Loss

The financial risk borne by a party in the event that goods are lost, damaged, or destroyed during transportation or storage.

Sale or Return

A sales agreement allowing the buyer to return unsold goods to the seller without obligation within a specified period.