Question:

(a) The number of defects per inspected PC-X based on a random sample of 15 from a days’ production is: 1, 3, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1

(i.) Analyze these data and present your results.

(ii.) Estimate the probability that a randomly selected PC will have at least 3 defects.

(b) Twenty-five customers selected at random were asked to rate the overall satisfaction, a measure of quality, with the PC-X. Five factors were ranked by each selected customer. Each factor was assigned a rank between 1 and 10, with 10 indicating the highest level of customer satisfaction. The ratings were averaged over the five factors for each customer. The results are:

7.7 5.2 6.2 7.8 7.6

5.5 7.7 8.6 5.9 6.9

9.3 8.5 7.1 9.6 7.3

6.5 6.0 8.0 8.3 9.1

7.5 8.8 7.9 6.7 7.8

(i.) Analyze the survey data and present your results.

(ii.) Estimate the proportion of the customer population whose average satisfaction rating is at least 9.