The Heights of a Simple Random Sample of 400 Male

question 25

Multiple Choice

The heights of a simple random sample of 400 male high school sophomores in a Midwestern state are measured.The sample mean is = 66.2 inches.Suppose that the heights of male high school sophomores follow a Normal distribution with a standard deviation of  = 4.1 inches.Suppose the heights of a simple random sample of 100 male sophomores were measured rather than 400.Which of the following statements is true?

• A)The margin of error for the 95% confidence interval would increase.
• B)The margin of error for the 95% confidence interval would decrease.
• C)The margin of error for the 95% confidence interval would stay the same because the level of confidence has not changed.
• D)The standard deviation  would decrease.

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Definitions:

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, expressed as a percentage change.

Excise Tax

A tax levied on specific goods or commodities sold within a country, such as alcohol and cigarettes.

Price Elasticity

A parameter for gauging the response of demand to price variations of a product.