1.A soccer ball manufacturer wants to estimate the meancircumference of soccer balls within 0.05 in. ​(a) Determine theminimum sample size required to construct a 95​% confidenceinterval for the population mean. Assume the population standarddeviation is 0.20 in. ​(b) Repeat part​ (a) using a populationstandard deviation of 0.30 in. Which standard deviation requires alarger sample​ size? Explain.
2.A soccer ball manufacturer wants to estimate the meancircumference of​ mini-soccer balls within 0.05 inch. Assume thepopulation of circumferences is normally distributed. ​(a)Determine the minimum sample size required to construct a 95​%confidence interval for the population mean. Assume the populationstandard deviation is 0.30 inch. ​(b) Repeat part​ (a) using apopulation standard deviation of 0.40 inch. ​(c) Which standarddeviation requires a larger sample​ size? Explain.
