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The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006)....

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 40 male consumers was $135.67, and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be $20. 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.
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Answer #1

a. The point estimate of the difference between the population mean expenditure for males and  population mean expenditure for females =   $135.67 -  $68.64 = $67.03

b

.At 99% confidence level, the margen of error- 35 20 4030 where a = 0.01 and Za/2= 2.58 , margen of error23.698

c.

The \: 99\% \: confidence\: interval\: is\: given\: by \\\\\\\left [ (135.67-68.64)-23.698,\: \: \: \: (135.67-68.64)+23.698 \right ]\\\\or(43.3,\: \: \: 90.7)

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