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 27.8 inches. With a sample size of 133, a 99% evel of confidence, and a population standard deviation of 0.6 inch, does it seem possible that the population mean could be less than 27.9 inches? Explain. Click here to view page 1 of the Standard Normal Table

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Author:Amos Gilat
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K
A soccer ball manufacturer wants to estimate the mean circumference of
soccer balls within 0.14 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 27.8 inches. With a sample size of 133, 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 27.9 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 122 soccer balls.
(Round up to the nearest whole number.)
(b) The 99% confidence interval for a sample size of 133 is (,). It
seem possible that the population mean could be less than 27.9
the confidence
inches because values below 27.9 inches fall
interval.
(Round to two decimal places as needed.)
F
Transcribed Image Text:K A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.14 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 27.8 inches. With a sample size of 133, 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 27.9 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 122 soccer balls. (Round up to the nearest whole number.) (b) The 99% confidence interval for a sample size of 133 is (,). It seem possible that the population mean could be less than 27.9 the confidence inches because values below 27.9 inches fall interval. (Round to two decimal places as needed.) F
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