Question

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 Disagree Strongly Agree Statement 1 2 3 4 5 6 7 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 43 48 45 40 43 48 42 41 41 44 47 45 44 46 44 43 48 48 40 40 44 42 43 46 41 41 43 44 42 40 44 45 40 41 40 40 40 45 40 45 40 40 41 46 47 48 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 [ ] and [ ] An estimate of the proportion of scores that would be at least 42 = [ ]%.

          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 Disagree Strongly Agree
Statement 1 2 3 4 5 6 7
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
43 48 45 40 43
48 42 41 41 44
47 45 44 46 44
43 48 48 40 40
44 42 43 46 41
41 43 44 42
40 44 45 40
41 40 40 40
45 40 45 40
40 41 46 47
48 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 [ ] and [ ]
An estimate of the proportion of scores that would be at least 42 = [ ]%.

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 Disagree Strongly Agree
Statement 1 2 3 4 5 6 7
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
43 48 45 40 43
48 42 41 41 44
47 45 44 46 44
43 48 48 40 40
44 42 43 46 41
41 43 44 42
40 44 45 40
41 40 40 40
45 40 45 40
40 41 46 47
48 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 [ ] and [ ]
An estimate of the proportion of scores that would be at least 42 = [ ]%.

Added by Anthony A.

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