In the production of airbag inflators for automotive safety systems, a company is interested in ensuring that the mean distance of the foil to the edge of the inflator is at least 2.00cm Measurements on 20 inflators yielded an average value of 2.02 cm. Assume a standard deviation of 0.05 on the distance measurements and a significance level of 0.01.
a. Test for conformance to the company's requirement. Use the p-value approach
b. what is the B-value if the true mean is 2.03?
c. What sample size would be necessary to detect a true mean of 2/03 with a probability of at least .90?
d. Find a 99% one sided lower confidence bound on the true mean.
e. Use the CI found in part d to test the hypothesis.