# The average price of a gallon of unleaded regular gasoline was reported to be $2.34 in northern Kentucky (The Cincinnati Enquirer, January 21, 2006). Use this price as the population mean, and assume the population standard deviation is $.20. a.

The average price of a gallon of unleaded regular gasoline was reported to be $2.34 in northern Kentucky (The Cincinnati Enquirer, January 21, 2006). Use this price as the population mean, and assume the population standard deviation is $.20.

a. What is the probability that the mean price for a sample of 30 service stations is within $.03 of the population mean?

b. What is the probability that the mean price for a sample of 50 service stations is within $.03 of the population mean?

c. What is the probability that the mean price for a sample of 100 service stations is within $.03 of the population mean?

d. Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to have at least a .95 probability that the sample mean is within $.03 of the population mean?

a. What is the probability that the mean price for a sample of 30 service stations is within $.03 of the population mean?

b. What is the probability that the mean price for a sample of 50 service stations is within $.03 of the population mean?

c. What is the probability that the mean price for a sample of 100 service stations is within $.03 of the population mean?

d. Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to have at least a .95 probability that the sample mean is within $.03 of the population mean?

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## 2 34 20 a n 30 P 2 31 2 37 P 82 z 82 7939 2061 5878 b n 50 P 2 31 2 37 P 1 06 z 1 06 8554 1446 7…View the full answer

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**ISBN:** 9780538481649

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**Authors:** David R. Anderson, Dennis J. Sweeney, Thomas A. Williams

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