Two different computer firms manufacture laptop computers. Random samples are selected from each firm and the following data is collected. Firm A: nA=20 sA=$100 xA = $1500 Firm B: nB=22 sB=$200 xB = $1900 Test the claim that the average price of Firm A’s laptop is no different from the average price of Firm B’s laptop Ho: uA = µB Ha: uA ≠ uB X A X B = difference between the average price of Firm A’s and Firm B’s laptops Distribution for the Test: Student-t for the difference of two means USE A 2-SampTTest. Test statistic: t = -8.31 Standardized score for xA xB 1500 1900 400 9 p-value: ≈ 0 (1.9394 10 ) Decision: Assume 0.05 ( p value) REJECT H0. Conclusion: There is sufficient evidence to conclude that the average price of Firm A’s laptop is different from the average price of Firm B’ laptop.
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