Recall that Table 1.7 (page 13) presents the satisfaction ratings for the XYZ-Box game system that have been given by 65 randomly selected purchasers. Figures 3.8 and 3.11(a) give the MINITAB and Excel outputs of statistics describing the 65 satisfaction ratings.
a. Find the sample mean on the outputs. Does the sample mean provide evidence that the mean of the population of all possible customer satisfaction ratings for the XYZ-Box is at least 42? (Recall that a "very satisfied" customer gives a rating that is at least 42.) Explain your answer.
b. Find the sample median on the outputs. How do the mean and median compare? What does the histogram in Figure 2.15 (page 52) tell you about why they compare this way.
Table 1.7

Figure 2.15

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Composite Scores for the Video Game Satisfaction Rating Case TABLE 1.7 45 45 45 45 0 45 1 2 47 47 43 41 43 45 45 45 9 43 42 39 8 45 43 2317533815 7746364355 187503558707420 630775441345295 912917048243424 71729741758 645 645713286005389 44684258289149 10 25 .3 7 7 6 7 7 4 2 86318 (i .4 3. 6 2 8 4 3 2 3.021435 2 ge 249485313889979 6545 2866692043 6661 165534668453971 9 6 5 46284348