Question

A sample of 65 video game satisfaction ratings are given in the following table:

Composite Scores for the Video Game Satisfaction Rating Case
43	43	40	39	40
37	41	41	41	40
39	41	40	39	41
43	43	42	40	42
42	44	43	39	43
36	41	41	46
39	41	44	46
37	40	41	45
37	42	40	45
38	41	42	45
40	42	40	43
42	43	43	42
43	42	42	42
41	41	45	40
40	42	46	42

The mean and the standard deviation of the sample of 65 video game satisfaction ratings are x⎯⎯x¯= 41.45 and s = 2.2011.

(a) What does the histogram in Figure 2.15 say about whether the Empirical Rule should be used to describe the satisfaction ratings?

It (Click to select)is notis somewhat reasonable.

(b) Use the Empirical Rule to calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all possible satisfaction ratings. (Round your answers to 4 decimal places.)

[x⎯⎯x¯ ± s]	[, ]
[x⎯⎯x¯ ± 2s]	[, ]
[x⎯⎯x¯ ± 3s]	[, ]

(c) Does the estimate of a tolerance interval containing 99.73 percent of all satisfaction ratings provide evidence that 99.73 percent of all customers will give a satisfaction rating for the XYZ-Box game system that is at least 34 (the minimal rating of a “satisfied” customer)? Explain your answer.

(Click to select)NoYes, because the lower limit of the interval is (Click to select)greater thanequal toless than 34.

(d) How do the percentages of the 65 customer satisfaction ratings in that actually fall into the intervals [x⎯⎯x¯ ± s], [x⎯⎯x¯ ± 2s], and [x⎯⎯x¯ ± 3s] compare to those given by the Empirical Rule? Do these comparisons indicate that the statistical inferences you made in parts b and c are reasonably valid? (Round your answers to the nearest whole number. Omit the "%" sign in your response.)

% fall into [x⎯⎯x¯ ± s],  % fall into [x⎯⎯x¯ ± 2s],  % fall into [x⎯⎯x¯ ± 3s].

(Click to select)NoYes, th

Answer 1