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.

MATLAB: An Introduction with Applications
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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
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 0.14 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 soccer balls. (Round up to the nearest whole number.)
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