1. Mini-Soccer Balls A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls within 0.15 inch. Assume the population of circumferences is normally distributed.
(a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is 0.20 inch.
(b) Repeat part (a) using a population standard deviation of 0.10 inch.
(c) Which standard deviation requires a larger sample size?
2. When all other quantities remain the same, how does the indicated change affect the minimum sample size requirement?
(a) Increase in the level of confidence
(b) Increase in the error tolerance
(c) Increase in the population standard deviation
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