A Marketing Study Was Conducted to Compare the Mean Age $= 0.01$

question 11

Multiple Choice

A marketing study was conducted to compare the mean age of male and female purchasers of a certain product. Random and independent samples were selected for both male and female
Purchasers of the product. It was desired to test to determine if the mean age of all female
Purchasers exceeds the mean age of all male purchasers. The sample data is shown here:

Find the rejection region to state the correct conclusion when testing at alpha $= 0.01$ .

• A) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { t } > 2.878\)
• B) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { t } > 1.330\)
• C) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { t } > 2.528\)
• D) Reject \(\mathrm { H } _ { 0 }\) if \(\mathrm { t } > 2.552\)

---

Definitions:

Used Oil

Recycled or waste oil that has been used and then collected for reprocessing or disposal, often considered hazardous waste.

Marginal Social Costs

The total cost to society of producing one additional unit of a good or service, including both private costs and any externalities.

Social Welfare

The overall well-being of a society, encompassing economic, social, and environmental dimensions, often considered in policy-making.

Pollution

The entry of pollutants into the natural ecosystem resulting in harmful modifications.