The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 46 male consumers was $135.88, and the average expenditure in a sample survey of 30 female consumers was $67.64. Based on past surveys, the standard deviation for male consumers is assumed to be $34, 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? 68.24 b. At 99% confidence, what is the margin of error? 14.30 c. Develop a 99% confidence interval for the difference between the two population means. 364.39 to 392.97

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Please answer B and C:

The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average
expenditure in a sample survey of 46 male consumers was $135.88, and the average expenditure in a sample survey of 30 female consumers was $67.64. Based on past surveys, the standard
deviation for male consumers is assumed to be $34, 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?
68.24
b. At 99% confidence, what is the margin of error?
14.30
c. Develop a 99% confidence interval for the difference between the two population means.
364.39
to 392.97
Transcribed Image Text:The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 46 male consumers was $135.88, and the average expenditure in a sample survey of 30 female consumers was $67.64. Based on past surveys, the standard deviation for male consumers is assumed to be $34, 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? 68.24 b. At 99% confidence, what is the margin of error? 14.30 c. Develop a 99% confidence interval for the difference between the two population means. 364.39 to 392.97
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