The mean pull-off force of an adhesive used in manufacturing a connector for an automotive engine application should be at least 75 pounds. This adhesive will be used unless there is strong evidence that the pull-off force does not meet this requirement. A test of an appropriate hypothesis is to be conducted with sample size n  10 and   0.05. Assume that the pull-off force is normally distributed, and is not known.

(a) If the true standard deviation is

 1, what is the risk that the adhesive will be judged acceptable when the true mean pull-off force is only 73 pounds? Only 72 pounds?

(b) What sample size is required to give a 90% chance of detecting that the true mean is only 72 pounds when

 1?

(c) Rework parts

(a) and

(b) assuming that 2.

How much impact does increasing the value of have on the answers you obtain?