WORKBOOK ASSIGNMENT 4: HYPOTHESIS TEST Over a long period of time, the production of 1000 highquality hammers in a factory seems to have reached a weightwith an average of 9719 and standard deviation of 49.2 g. Propose a modelforthe weight ofthe hammers including a probability distribution for the weight. What are the assumptions for this model to hold? What parameters does this model have? A new production system is congured, and one wants to evaluate if the new system makes more constant weights. For this a random sample of newly produced hammers is evaluated yielding the following weights: 801, 851, 806, 920, 919, 889, 853, 872, 868, 801 What hypothesis can you formulate and what test and decision rule can you make to estimate if the new system produces a more constant weight? Express these assertions as logical statements involving critical values. What error probabilities can you suggest and why? Calculate the p-value. Perform the test and express conclusions