Your company plans to buy disks that are supposed to come in containers of exactly 100 disks. A random sample of 49 containers is taken and the mean is found to be 102 disks with a standard deviation of 3 disks.

(a) Using a .05 significance level, should the disk -packing machinery be adjusted?

(b) Construct a two-sided 95% confidence interval about the mean using the above data.