A company manufactures rope whose breaking strength has a mean of 300 lbs and a standard

deviation of 24 lbs. It is believed that by a newly developed process the mean breaking strength can be

increased.

a)

Design a decision rule for rejecting the old process at the 0.01 significance level if it

is agreed to test 64 ropes.

b)

(Optional)Under the decision rule adopted in part (a), what is the probability of

accepting the old process when in fact the new process has increased the mean

breaking strength to 310 lbs? Assume that the standard deviation is still 24lbs