Question 2 of 14 Exercise 10.05 Algo (Inferences About the Difference Between Two Population Means: Šigmas Known) Hint(s) Check My Work 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 50 male consumers was $132.22, and the average expenditure in a sample survey of 33 female consumers was $04.0. 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 $14. 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 errar? c. Develop a 99% confidence interval for the difference between the two population means. to

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Exercise 10.05 Algo (Inferences About the Difference Between Two Population Means: Sigmas Known)
* Question 2 of 14
Hint(s) Check My Work
-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 50 male consumers was $132.22, and the average expenditure in a sample survey of 33 female
consumers was $64.66. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female
e consumers is assumed to be $14. 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% canfidence interval for the difference between the two population means.
to
Transcribed Image Text:Exercise 10.05 Algo (Inferences About the Difference Between Two Population Means: Sigmas Known) * Question 2 of 14 Hint(s) Check My Work -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 50 male consumers was $132.22, and the average expenditure in a sample survey of 33 female consumers was $64.66. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female e consumers is assumed to be $14. 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% canfidence interval for the difference between the two population means. to
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