Each of the following situations requires a significance test about a population

Question

Each of the following situations requires a significance test about a population mean ?. State the appropriate null hypothesis H0 and alternative hypothesis Ha in each case:

a. Census Bureau data shows that the mean household income in the area served by a shopping mall is $72,500 per year. A market research firm questions shoppers at the mall to find out whether the mean household income of mall shoppers is higher than that of the general population.

b. Last year, your company’s service technicians took an average of 1.8 hours to respond to trouble calls from business customers who had purchased service contracts. Do this year’s data show a different average response time?

Explanation / Answer

a)
H0 : mu = 72500
The statement “the mean household income of mall shoppers is higher than that of the general population.” is interpreted to the alternative,
Ha : mu > 72500

b)

H0: mu = 1.8 hours.
The statement “show a different average” is interpreted to the alternative,
Ha: mu not equal to 1.8 hours.

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