In: Statistics and Probability
4. Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters, and a variance of 49.
If a random sample of 41 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 2.2 millimeters? Round your answer to four decimal places.
5. The mean output of a certain type of amplifier is 110 watts with a variance of 100.
If 44 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 3.4 watts? Round your answer to four decimal places.