Question

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

The mean and the standard deviation of the sample of 65 video game satisfaction ratings are x = 41.80 and s = 2.8295. 

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

(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 satistaction ratings. (Round your answers to 4 decimal places.) 

(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 33 (the minimal rating of a satisfied" customer)? Explain your answer 

(d) How do the ercentages or the 65 customer satisfaction ratings in that actually fall into the intervals

[\bar{x} \pm 5],[\bar{x} \pm 2 s], and [\bar{x} \pm 3 s]

 compare to those given b the Empirical Rule? Do these comparisons indicate that the statistical inferences you made in parts b and c are reasonably valid? 

Answer 1