Solved: A consumer group is interested in comparing

Chapter 1, Problem 9.110

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A consumer group is interested in comparing operating costs for two dierent types of automobile engines. The group is able to nd 15 owners whose cars have engine type A and 15 whose cars have engine type B. All 30 owners bought their cars at roughly the same time, and all have kept good records for a certain 12-month period. In addition, these owners drove roughly the same number of miles. The cost statistics are yA = $87.00/1000 miles, yB = $75.00/1000 miles, sA = $5 .99, and sB = $4 .85. Compute a 95% condence interval to estimate A B, the dierence in the mean operating costs. Assume normality and equal variances.

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