A company that produces and markets video game systems wishes to assess its customers' level of satisfaction with a relatively new model, the XYZ-Box. In the six months since the introduction of the model, the company has received 73,219 warranty registrations from purchasers. The company will select a random sample of 65 of these registrations and will conduct telephone interviews with the purchasers. Specifically, each purchaser will be asked to state his or her level of agreement with each of the seven statements listed on the survey instrument given in the following table.. Here, the level of agreement for each statement is measured on a 7-point Likert scale. Purchaser satisfaction will be measured by adding the purchaser's responses to the seven statements. It follows that for each consumer the minimum composite score possible is 7 and the maximum is 49. Furthermore, experience has shown that a purchaser of a video game system is "very satisfied" if his or her composite score is at least 42. The Video Game Satisfaction Survey Instrument Strongly Strongly Statement Disagree Agree The game console of the XYZ-Box is well designed. 1 2 3 4 5 6 7 The game controller of the XYZ-Box is easy to handle. 1 2 3 4 5 6 7 The XYZ-Box has high-quality graphics capabilities. 1 2 3 4 5 6 7 The XYZ-Box has high-quality audio capabilities. 1 2 3 4 5 6 7 The XYZ-Box serves as a complete entertainment center. 1 2 3 4 5 6 7 There is a large selection of XYZ-Box games to choose from. 1 2 3 4 5 6 7 I am totally satisfied with my XYZ-Box game system. 1 2 3 4 5 6 7 Suppose that when the 65 customers are interviewed, their composite scores are as given in the following table. Composite Scores for the Video Game Satisfaction Rating Case 35 46 40 38 40 45 35 42 43 49 42 36 42 44 43 48 45 38 45 36 37 41 46 38 45 37 36 37 49 35 35 41 42 39 49 36 46 46 49 37 36 47 35 44 47 39 38 42 37 47 42 39 46 43 40 48 47 48 37 40 36 35 43 42 44 Using the data, estimate limits between which most of the 73,219 composite scores would fall. Also, estimate the proportion of the 73,219 composite scores that would be at least 42