rchaser will be asked to state his or her level of agreement with each of the se the following table.. Here, the level of agreement for each statement is measu be measured by adding the purchaser's responses to the seven statements. It te score possible is 7 and the maximum is 49. Furthermore, experience has sh isfied" if his or her composite score is at least 42. ction Survey Instrument e XYZ-Box is well designed. the XYZ-Box is easy to handle. uality graphics capabilities. uality audio capabilities. a complete entertainment center. tion of XYZ-Box games to choose from. with my XYZ-Box game system. Strongly Disagree 1 1 1 PP 1 1 TTT 1 1 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 2 3 4 5 5 customers are interviewed, their composite scores are as given in the f e Video Game Satisfaction Rating Case

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Author:Amos Gilat
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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
Statement
The game console of the XYZ-Box is well designed.
The game controller of the XYZ-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.
Composite Scores for the Video Game Satisfaction Rating Case
38
38
41
47
39
40
41
43
41
46
41
44
44
47
43
46
43
49
38
40
40
41
44
49
47
41
45
44
48
42
41
43
38
39
38
46
44
39
42
47
47
47
49
49
38
41
45
46
45
46
49
39
46
39
42
44
45
46
43
43
45
47
41
49
47
Strongly
Disagree
1
1
Most of the scores would fall between
An estimate of the proportion of scores that would be at least 42 =
1
1
1
1
1
2 3
~ ~ ~ ~ ~ ~ ~
w w w w w w w
2
4
+++++++
3
2 3 4 5
5
2 3 4 5
4
ыыыыыыы
5
2 3 4 5
2 3 4 5
2 3 4 5 6
Strongly
Agree
666 6 6 6 6
Aaaaaaa
and
%.
7
Suppose that when the 65 customers are interviewed, their composite scores are as given in the following table.
7
7
7
7
7
7
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.)
Question
Transcribed Image Text: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 Statement The game console of the XYZ-Box is well designed. The game controller of the XYZ-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. Composite Scores for the Video Game Satisfaction Rating Case 38 38 41 47 39 40 41 43 41 46 41 44 44 47 43 46 43 49 38 40 40 41 44 49 47 41 45 44 48 42 41 43 38 39 38 46 44 39 42 47 47 47 49 49 38 41 45 46 45 46 49 39 46 39 42 44 45 46 43 43 45 47 41 49 47 Strongly Disagree 1 1 Most of the scores would fall between An estimate of the proportion of scores that would be at least 42 = 1 1 1 1 1 2 3 ~ ~ ~ ~ ~ ~ ~ w w w w w w w 2 4 +++++++ 3 2 3 4 5 5 2 3 4 5 4 ыыыыыыы 5 2 3 4 5 2 3 4 5 2 3 4 5 6 Strongly Agree 666 6 6 6 6 Aaaaaaa and %. 7 Suppose that when the 65 customers are interviewed, their composite scores are as given in the following table. 7 7 7 7 7 7 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.) Question
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