b. At 99% confidence, what is the margin of error? c. Develop a 99% confidence interval for the difference between the two population means. to

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USA Today reports that 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 42 male consumers was $135.08, and the average expenditure in a sample
survey of 39 female consumers was $61.46. Based on past surveys, the standard deviation for male consumers is assumed to be $30, and the
standard deviation for female consumers is assumed to be $16. The z value is 2.576.
Round your answers to 2 decimal places.
a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for
females?
73.62
b. At 99% confidence, what is the margin of error?
c. Develop a 99% confidence interval for the difference between the two population means.
to
Transcribed Image Text:USA Today reports that 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 42 male consumers was $135.08, and the average expenditure in a sample survey of 39 female consumers was $61.46. Based on past surveys, the standard deviation for male consumers is assumed to be $30, and the standard deviation for female consumers is assumed to be $16. The z value is 2.576. Round your answers to 2 decimal places. a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females? 73.62 b. At 99% confidence, what is the margin of error? c. Develop a 99% confidence interval for the difference between the two population means. to
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