Asoccer 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 99% confidence interval for the population mean. assume the population standard deviation is 0.20 in.
(b) repeat part (a) using a standard deviation of 0.40 in. which standard deviation requires a larger sample size? explain.
(a) the minimum sample size required to construct a 99% confidence interval using a population standard deviation of 0.20 in. is balls. (round up to the nearest integer.)
(b) the minimum sample size required to construct a 99% confidence interval using a standard deviation of 0.40 in. is balls. (round up to the nearest integer.)
a population standard deviation of in. requires a larger sample size. due to the increased variability in the population, a sample size is needed to ensure the desired accuracy.