In: Statistics and Probability
3. A company manufactures rope whose breaking strengths have a mean of 300 lbs with a standard deviation of 24 lbs. It is believed that a new process will increase the mean breaking strength of the ropes.
a) Design a decision rule for rejecting the old process at the = 0.01 level if a sample of 64 ropes is chosen.
b) Under the decision rule of part (a), what is the probability of accepting the old process when in fact the new process did increase the mean breaking strength to 310 lbs.?
(the standard deviation is still 24 lbs.)
What type of error is this?