A study was conducted to see whether two types of cars, A and B, took the...

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A study was conducted to see whether two types of cars, A and B,took the same time to parallel park. Seven drivers were randomlyobtained and the time required for each of them to parallel park(in seconds) each of the 2 cars was measured. The results arelisted below in order of driver (e.g. the first listing for A and Bare driver 1; the second listing driver 2; etc.) Car A: 19, 21.8,16.8, 24.2, 22, 34.7, 23.8 Car B: 17.8, 20.2, 16.2, 41.4, 21.4,28.4, 22.7
A. Explain why this is a paired test and not a two sampletest.
B. Test whether the there is a difference in mean parallelparking time of the two cars at a 0.05 level of significance.Include the hypotheses, the test statistic, the p-value, testdecision and conclusion in the context of the problem.
C. Do you believe the test results are valid? Explain.
D. What test decision error could you have made and provide anexplanation of this error in context of the problem. E. Include acopy of your R-code and test output.

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4.0 Ratings (487 Votes)

A This is the paired test because each of the 7 drivers hasdriven both cars and hence his observations times for two carsare pairedBThus Pvalue 07796 Which is greater than the level ofsignificance See Answer

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