The diameter of a lid for a 16-ounce Tervis travel cup is slightly right-skewed distribution with p 3.55 inches. A quality control supervisor selects a simple random sample of n lids every hour and measures the diameter of each. If he is convinced that the mean diameter of all the lids produced that hour is not 3.55 inches at the 5% significance level, then all those lids discarded.

Since measuring each lid takes time and can slow production, the supervisor wants to sample as few lids as possible from each hour's production. He is considering a sample size of n = 8. Explain why this sample size may lead to problems in carrying out the significance test.