Question: 1. A study was conducted to see whether two types of cars, A and B, took the same time to parallel park. Seven drivers were

1. A study was conducted to see whether two types of cars, A and B, took the same time to parallel park. Seven drivers were randomly obtained and the time required for each of them to parallel park each of the 2 cars was measured. The results are listed in the following table.

Driver Car 1 2 3 4 5 6 7 A 19.0 21.8

Is there evidence that the time required to parallel park the two types of car are, on average, different?

(a) Test at α = 0.05 using the paired T test.What assumptions are needed for the validity of this test? Comment on the appropriateness of the assumptions for this data set.

(b) Test at α = 0.05 using the signed-rank test.

Driver Car 1 2 3 4 5 6 7 A 19.0 21.8 16.8 24.2 22.0 34.7 23.8 B 17.8 20.2 16.2 41.4 21.4 28.4 22.7

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