Question

A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.13 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 28.2 inches. With a sample size of 152, a 99​% level of​ confidence, and a population standard deviation of 0.60 inch, does it seem possible that the population mean could be less than 28.3 ​inches? Explain

Answer 1

solution: las Margin of error = 22/ = 0.13 7 2.58% 0.6 3 ms 11.908 ans 141.79 Therefore sample size required = 1142 ] b) 99% confidence interra = 28.2 I 2.587 0.6 V 152 = 28.07 cele 28.33 yes it is possible to have population mon 28.3. yes Because h = 28.3 is contained in the got considence interval