The average expenditure on Valentine’s Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $135.67 and the average expenditure in a sample survey of 40 female consumers was $68.64. Based on past surveys, the population standard deviation for male consumers is assumed to be $35, and the population standard deviation for female consumers is assumed to be $20: Gender Sample Size Sample Mean Population Standard Deviation Male 40 $135.67 $35 Female 40 $68.64 $20 Step 2 Identify the appropriate test statistic and its probability distribution. Step 4 State the decision rule, along with the critical value. Step 5 Calculate the test statistic. Step 6 Apply the decision rule and draw a conclusion
The average expenditure on Valentine’s Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $135.67 and the average expenditure in a sample survey of 40 female consumers was $68.64. Based on past surveys, the population standard deviation for male consumers is assumed to be $35, and the population standard deviation for female consumers is assumed to be $20:
| Gender | Sample Size | Sample Mean | Population Standard Deviation |
| Male | 40 | $135.67 | $35 |
| Female | 40 | $68.64 | $20 |
Step 2 Identify the appropriate test statistic and its probability distribution.
Step 4 State the decision rule, along with the critical value.
Step 5 Calculate the test statistic.
Step 6 Apply the decision rule and draw a conclusion
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