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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
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 Didagree Agroo Statement The game console of the XYZ-Box is well designed. The game controller of the XYE-Box is easy to handle. The XYZ-Box has high-quality graphics capabilities. The XYZ-Box has high-quality audio capabilities. The XYZ-Box serves as a complete entertainment center. There is a large selection of XYZ-Box games to choose from. I am totally satisfied with my XYZ-Box game system. 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 39 44 46 44 44 45 42 45 44 42 47 38 46 43 42 40 46 43 45 42 47 38 43 42 45 41 41 46 45 40 44 40 43 14 40 46 44 44 39 41 44 40 38 46 43 39 16 41 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
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