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 Agro The game console of the XYZ-Dox is well designed. 2 3 4 5 6 7 The game controller of the XYZ-Box is easy to handle. 2 3 4 5 6 7 The XYZ-Box has high-quality graphics capabilities. 2 3 4 5 6 7 The XYZ-Box has high quality audio capabilities. 2 3 4 5 6 2 The XY-Box serves as a completo entertainment center. 2 3 4 5 6 7 There is a large selection of XY-Box ganes to choose from. 2 3 4 5 6 7 I am totally satisfied with my XYL-Box game system. 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 scoren for the Video Game Satisfaction Kating cane 40 42 43 47 45 41 44 40 44 44 40 44 41 40 40 42 43 44 45 40 45 46 40 40 41 45 40 45 46 40 46 42 40 40 40 47 43 40 46 40 45 40 40 44 42 47 41 45 46 43 45 Suppose that when the 65 customers are interviewed, their composite scores are as given in the following table. 47 45 Composite Scores for the Video Game Satisfaction Rating Case 43 48 48 45 40 42 43 41 41 44 44 43 46 48 44 48 40 42 40 43 41 46 43 41 44 40 42 44 45 41 40 40 40 45 40 40 45 40 40 41 46 48 47 45 44 43 44 40 41 40 42 46 48 46 47 45 43 40 44 46 45 47 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. (Round your proportion of scores answer to 2 decimal places.) Most of the scores would fall between An estimate of the proportion of scores that would be at least 42 - and %