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

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b. At 99% confidence, what is the margin of error?
 

c. Develop a 99% confidence interval for the difference between the two population means.

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 52
male consumers was $137.81, and the average expenditure in a sample
survey of 35 female consumers was $61.64. 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?
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 52 male consumers was $137.81, and the average expenditure in a sample survey of 35 female consumers was $61.64. 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? 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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