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

Question

Asample of 65 video game satisfaction ratings are given in the following table: Composite Scores for the Video Game Satisfaction Rating Case 45 42 40 45 47 40 42 40 40 40 43 36 40 42 44 44 42 40 45 45 38 43 46 38 44 46 37 40 38 40 46 44 44 43 45 43 44 45 40 40 45 45 43 40 45 The mean and the standard deviation of the sample of 65 video game satisfaction ratings are R 42.11 and s 2.4503. (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) Rts] Rt2sl 47.0106 37.2094 347591 49.4609

Explanation / Answer

(1-alpha)*100% tolerance interval for mean=mean± z(alpha/2)*s

for alpha=0.3174, the the z(alpha/2)=z(0.3174/2)=1,

(1-0.3174)*100%=68.44% tolerance interval for mean=42.11±2.4503

for alpha=0.0456, the the z(alpha/2)=z(0.0456/2)=2

(1-0.0456)*100%=95.44% tolerance interval for mean=42.11±2*2.4503

alpha=0.0027, the the z(alpha/2)=z(0.0027/2)=3

(1-0.0027)*100%=99.73% tolerance interval for mean=42.11±3*2.4503

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