Construct a 95% confidence interval on the mean of a normally distributed measurement with a sample size of 25, a sample average of 20 and a population standard deviation of 5. less or equal than mu less or equal than2. you want to design a hypothesis test on the mean of your process with alpha=0.05 that will be able to detect a difference from the desired mean of 40.0. use the sample standard deviation of 3.0 to estimate the population standard deviation. you want to be 80% certain the test will detect a change in the mean of as little as 4.5. use the o. c. curves to find the appropriate sample size. what value for d should you use?