The quality manager at Marel is investigating whether a fish processor they produce cuts fish in 750 gr. fillets as expected. He puts start the engine and let it work 40 fillets and according to it is the sample mean weight of the fillets 746 grams and a sample standard deviation of 13 grams. A. Present a two-sided hypothesis test about whether the population average is 750 gr. and execute it includes 5% level of significance. (4%) B. Show the result of the test in a picture. What the result tells you about the sampling distribution of the sample mean? (4%) C. What is the p-value and what does it tell you? Show it in the picture you made in part b (4%) D. Draw a power level function (e. power function) of the hypothesis test (4%) E. Buyers of the machine want variance the weight of the fillets should be kept to a minimum, preferably less than 225. You are asked to put perform hypothesis tests, including 5% significance level which examines whether the variance of the weight is in practice smaller than that. (4%)