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This question was answered on Jul 18, 2012. View the Answer
Metropolitan Research, Inc., a consumer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study, Metropolitan looked at consumer satisfaction with the performance of automobiles produced by a major Detroit manufacturer. A questionnaire sent to owners of one of the manufacturer’s fullsized cars reviewed several complaints about early transmission problems. Nationwide, the population mean mileage, μ, is 80,000 miles, with a population standard deviation, σ, of 18,000 miles.

Use hypothesis testing to determine whether the sample data support the conclusion that
the mean mileage of vehicles produced by this manufacturer is lower than the national
average mileage at transmission failure. Be sure to clearly state your hypotheses. Use
the p-value approach to conduct the hypothesis test using α = .005. Include the test
statistic, p-values, rejection rule, and conclusions in your answer.
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Data

Miles
85092
39323
64342
74276
74425
37831
77539
32609
89641
61978
66998
67202
89341
88798
59465
94219
67998
40001
118444
73341
77437
116803
59817
72069
53500
85288
32534
92857
101769
25066
79294
138114
64090
63436
95774
77098
64544
53402
32464
65605
121352
69922
86813
85586
59902
85861
69568
35662
116269
82256

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