market1234
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What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70%% of the Items purchased were on sale or purchased with a coupon. Age range, years 18-28 29-39 40-50 51-61 62 and over Midpoint x 23 34 45 56 67 Percent of super shoppers 4396 2697 13%% 12% For the 62-and-over group, use the midpoint 67 years. (a) Using the age midpoints x and the percentage of super shoppers, do we have a valid probability distribution? Explain. Yes. The events are Indistinct and the probabilities sum to less than 1. O Yes. The events are distinct and the probabilities sum to 1. )Yes. The events are distinct and the probabilities do not sum to 1. 3) No. The events are distinct and the probabilities sum to 1. ) No. The events are indistinct and the probabilities sum to more than 1. (b) Use a histogram to graph the probability distribution of part (a). 40 20 Show AT Testing the N...docx Testing the N_.docx Communica Apprehens MacBook Air % 4 5(b) Use a histogram to graph the probability distribution of part (a). 30 30 % Sup Shops % Sup Shops 20 10 10 34 45 56 ET 23 34 56 Aga O Aqu K Sup SApps %% Gupr Shippre Testing the N...docx Testing the N...docx antifu 8 5.2 10 MacBook Air40 40 30 30 % Sup Shops 20 % Sup Shopis 20 10 10 23 34 45 23 45 Aga Age O (c) Compute the expected age if of a super shopper. (Round your answer to two decimal places.) yr (d) Compute the standard deviation a for ages of super shoppers. (Round your answer to two decimal places.) Yr Viewing Saved Work Revert to Last Response My Notes (2 AskThe A&B Supermarkets have 3 warehouses A, B, and C, that ships supplies to their 23 stores. Their costs of shipping per unit are given below: 1 2 3 A 14 12 9 B 11 8 12 C 13 10 12 The capacities of A, B, and C are 240, 360, and 200 units, respectively, while the demands of stores 1, 2, and 3 are 400, 250, and 150, respectively. [Notice that the supplies = demands!] a) Formulate the transportation problem to minimize total cost for shipping. Please provide the actual shipping schedule derived from Solver. b) If the shipping routes can be changed so that the supplies can be transshipped from warehouse to warehouse, market to market, and even market to warehouse, would you recommend a new set of shipping routes given the following per unit cost shipping data: A B c 1 2 3 A o 1 5E 14 12 9 B 1 o 2: 11 8 12 C _____5 _______ 2 _______ 0. L____l3_ _____ }9______1_2_ 1 14 11 13: o 4 3 2 12 8 105 4 0 2 3 9 12 12: 3 2 o What would be the new shipping routes and quantities? How are these different from those of a)? The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. It is determined that approximately 72% of the variation of the weekly sales can be accounted for its regression on the shelf space for stores. A random sample of 12 equal-sized stores is selected, the data is provided in the following table. Store 1 2 3 4 5 6 17 8 9 10 11 12 Shelf Space 5 5 5 10 10 10 15 15 5 15 20 20 20 ( feet) Weekly Sales 170 220 140 190 240 260 230 260 280 260 290 320 ($) 1. Determine the five number summary of the weekly sales of pet food. (1 mark) 2. If you constructed a modified box-plot for the weekly sales of pet food. What values would the whiskers extend to? (2 marks). 3. Calculate the least squares regression equation for predicting the weekly sales from the number of shelves. (2 marks) 1 i B S'S PAExecutives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, J, spent by customers at the supermarkets has been reported to be 36 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that u is greater than 36 minutes. The consultant plans to do a statistical test and collects a random sample of 50 shopping times at the supermarkets. Suppose that the population of shopping times at the supermarkets has a standard deviation of 12 minutes and that the consultant performs her hypothesis test using the 0.01 level of significance. Based on this Information, answer the questions below. Carry your Intermediate computations to at least four decimal places, and round your responses as indicated. Minis 7 12 What are the null and alternative hypotheses that the consultant should use for the best? H in is ? Assuming that the actual value of u is 40 minutes, what is the probability that the consultant accepts the null hypothesis? Round your response to at least two decimal places. What is the probability that the consultant rejects the null hypothesis when, in fact, it is true? Round your response to at least two decimal places, The power of the second test is greater than the Suppose that the consultant decides to perform another power of the original test statistical test using the same population, the same null and alternative hypotheses, and the same sample size, but for this second test the consultant uses a significance The power of the second test is less than the power level of O.1 instead of a significance level of 0.01. of the original best Assuming that the actual value of u is 40 minutes, how does the power of this second test compare to the power of the original test? @ The powers of the two tests are equal
