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 a = 0.05.
Assume that the pull-off force is normally distributed, and is not known.
(a) If the true standard deviation is σ = 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 μ 1?
(c) Rework parts (a) and (b) assuming that μ 2. How much impact does increasing the value of have on the answers you obtain?