Question

1. You suspect that drivers for Uber/Lyft have newer cars than a driver who doesn’t drive for Uber/Lyft. Listed below are the ages of cars that you randomly sampled from the streets of Portland. a. If one were to conduct a hypothesis test for the difference in mean car age and mean Uber/Lyft car age, the conditions for the test would need to be checked. What conditions should you check? b. Check the conditions and explain how the conditions are met or not. c. What is the appropriate test to conduct, an independent samples t test or paired t test? Explain.

Uber/Lyft car age	4	0	8	11	14	3	4	4	3	5	8	3	3	7	4	6	6	1	8	2	15	11	4
Non-Uber/Lyft Car age	8	8	0	3	8	4	3	3	6	11	7	7	6	9	5	10	8	4	3	4

Answer 1

(a)

The data should be normally distributed and sample should be random samples.

(b)

Following are the box plots of the data generated by excel:

Box plot are approximately symmetric and there is no outliers are data.

So normality can be assumed.

That is given that samples are random samples. So conditions for t test are satisfied.

(c)

Here we have two independent samples so independent sample t test should be used.