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Exercise 3.25 THE VIDEO GAME SATISFACTION RATING CASE A sample of 65 video game

ID: 3125084 • Letter: E

Question

Exercise 3.25 THE VIDEO GAME SATISFACTION RATING CASE A sample of 65 video game satisfaction ratings are given in the following table Composite Scores for the Video Game Satisfaction Rating Case 45 40 43 39 39 40 48 39 46 46 46 45 46 40 36 43 39 47 40 43 48 46 37 38 37 37 36 40 40 40 40 42 40 43 42 42 42 42 42 43 43 40 43 40 46 45 42 43 42 45 The mean and the standard deviation of the sample of 65 video game satisfaction ratings are and s 2.8393 42.03 (a) What does the histogram in Figure 2.15 say about whether the Empirical Rule should be used to describe the satisfaction ratings? It is 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.)

Explanation / Answer

a) yes. it is somewhat reasonable.

b) Use empirical rule

xbar +- s = (39.1915,44.8701)

xbar+-2s =(36.3522,47.7093)

xbar+-3s = 33.5129,50.5486

c) no. because the lower limit of the interval is greater than 33

d)64.61 faill into xbar+-s, 93.85% fall into xbar+-2s, 100% fall into xbar+-3s

yes, they are reasonably valid.