
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Ef 610.

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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 52 male consumers was $131.22, and the average expenditure
in a sample survey of 39 female consumers was $63.54. 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 $10. 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?
10.10
b. At 99% confidence, what is the margin of error?
17.29
c. Develop a 99% confidence interval for the difference between the two population means.
49.74
to 76.17
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