Question # 1:A dispensing machine is set to produce 1 pound lotsof a particular compound. The machine is fairly accurate, producingmean weight of lots equal to 1.0 pound with a standard deviation of0.12 pounds. Thirty five lots are randomly selected:
(a)What is the mean weight of the sample mean of the thirty fiverandomly selected lots?
(b)What is the standard deviation of weight of the sample meanof the thirty five randomly selected lots?
(c)Find the probability that the mean weight is greater than 1.1pounds.
(d)Find the probability that the mean weight is less than 0.95pounds