A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.17 inch. (a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.6 inch. (b) The sample mean is 27.3 inches. With a sample size of 92, a 99% level of confidence, and a population standard deviation of 0.6 inch, does it seem possible that the population mean could be less than 27.4 inches? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 99% confidence interval is soccer balls. (Round up to the nearest whole number.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.17 inch.
(a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.6 inch.
(b) The sample mean is 27.3 inches. With a sample size of 92, a 99% level of confidence, and a population standard deviation of 0.6 inch, does it seem possible that the population mean could be less than 27.4 inches?
Explain.
Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table.
(a) The minimum sample size required to construct a 99% confidence interval is
soccer balls.
(Round up to the nearest whole number.)
Transcribed Image Text:A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.17 inch. (a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.6 inch. (b) The sample mean is 27.3 inches. With a sample size of 92, a 99% level of confidence, and a population standard deviation of 0.6 inch, does it seem possible that the population mean could be less than 27.4 inches? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 99% confidence interval is soccer balls. (Round up to the nearest whole number.)
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