video game making company is interested in assessing the customer level of satisfaction for its 2023 model – the RRR Box. In the two months since the introduction of the model, the company was able to sell 7,500 units of RRR Box. The company has randomly selected 65 of its clients and has successfully conducted survey using Qualtrics. There were a total of 10 questions asking for each client’s level of agreement with each of the those questions. The level of agreement for each statement is measured on a 5-point Likert scale (Strongly disagree, disagree, neutral, agree, strongly agree). It follows that for each consumer the minimum composite possible score is 10 and the maximum is 50. 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. Suppose that when the 65 customers are interviewed, their composite scores are given in ‘Ratings’ table below. Answer the following questions. 1. Define density curve. Construct the density curve of the distribution. Construct density curve bins using Upper Class Boundary. Add data labels, legend, title, axis title.  2. Using the largest and smallest observations in the data, estimate limits between which most of the 7,500 observations’ ratings would fall. Also, estimate the proportion of the 7,500 that would be at least 40.

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A video game making company is interested in assessing the customer level of satisfaction for its 2023 model – the RRR Box. In the two months since the introduction of the model, the company was able to sell 7,500 units of RRR Box. The company has randomly selected 65 of its clients and has successfully conducted survey using Qualtrics. There were a total of 10 questions asking for each client’s level of agreement with each of the those questions. The level of agreement for each statement is measured on a 5-point Likert scale (Strongly disagree, disagree, neutral, agree, strongly agree).

It follows that for each consumer the minimum composite possible score is 10 and the maximum is 50. 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. Suppose that when the 65 customers are interviewed, their composite scores are given in ‘Ratings’ table below. Answer the following questions.

1. Define density curve. Construct the density curve of the distribution. Construct density curve bins using Upper Class Boundary. Add data labels, legend, title, axis title. 
2. Using the largest and smallest observations in the data, estimate limits between which most of the 7,500 observations’ ratings would fall. Also, estimate the proportion of the 7,500 that
would be at least 40.

Ratings
36
38 38 38 39 39 39 39 40 40 46
40 40 40 41 41 41 41 41 41 42 47
42 42 42 42 43 43 43 43 43 47
44 44 47
42
43
43 43 44 44 44 44 44
44
44 44 44 44 45 45 45 45 45 48
45
45 45 45 46 46 46 46 46
46
Transcribed Image Text:Ratings 36 38 38 38 39 39 39 39 40 40 46 40 40 40 41 41 41 41 41 41 42 47 42 42 42 42 43 43 43 43 43 47 44 44 47 42 43 43 43 44 44 44 44 44 44 44 44 44 44 45 45 45 45 45 48 45 45 45 45 46 46 46 46 46 46
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