1. Explain whether you think the Rule for Sample Means applies to each of the following situations. If it does apply, specify the population of interest and the measurement of interest. If it does not apply, explain why not.

a) A university wants to know the average income of its alumni. Staff members select a random sample of 200 alumni and mail them a questionnaire. They follow up with a phone call to those who do not respond within 30 days. a) The rule applies. The population is staff members and the measurement is income.

b)The rule applies. The population is alumni and the measurement is income.

c)The rule does not apply because the measurement is not bell-shaped and the sample is not large enough.

d)The rule does not apply because the sample is not random.

b)An automobile manufacturer wants to know the average price for which used cars of a particular model and year are selling in a certain state. They are able to obtain a list of buyers from the state motor vehicle division, from which they select a random sample of 20 buyers. They make every effort to find out what those people paid for the cars and are successful in doing so. a)The rule applies. The population is used cars for sale and the measurement is number of miles on the car.

b)The rule applies. The population is used cars of a particular model and year and the measurement is price.

c)The rule does not apply because the measurement is not bell-shaped and the sample is not large enough.

d)The rule does not apply because the sample is not random.