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1.A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in....

1.A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in. ​(a) Determine the minimum sample size required to construct a 95​% confidence interval for the population mean. Assume the population standard deviation is 0.20 in. ​(b) Repeat part​ (a) using a population standard deviation of 0.30 in. Which standard deviation requires a larger sample​ size? Explain.

2.A soccer ball manufacturer wants to estimate the mean circumference of​ mini-soccer balls within 0.05 inch. Assume the population of circumferences is normally distributed. ​(a) Determine the minimum sample size required to construct a 95​% confidence interval for the population mean. Assume the population standard deviation is 0.30 inch. ​(b) Repeat part​ (a) using a population standard deviation of 0.40 inch. ​(c) Which standard deviation requires a larger sample​ size? Explain.

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