Question

A researcher working for a Silicon Valley startup was interested in understanding differences in the productivity of Uber drivers and traditional taxi cab drivers. She selected a random sample of 18 drivers and compared the number of rides each gave on the previous day. The data representing the number of rides given in the previous day are shown below. Using these data and a .05 level of significance, test the null hypothesis that Uber drivers and taxicab drivers do not differ with respect to number of rides per day. Make sure to report the critical value and obtained value of the test statistic, and interpret the meaning of your decision about the hypothesis.

Uber Taxicab

18 13

19 18

15 9

12 11

18 16

22 21

14 8

18 16

23

11

Answer 1

Ans:

	Uber	Taxicab
1	18	13
2	19	18
3	15	9
4	12	11
5	18	16
6	22	21
7	14	8
8	18	16
9	23
10	11
mean	17	14
std dev.	3.972	4.536

Test statistic:

t=(17-14)/SQRT((3.972^2/10)+(4.536^2/8))

t=1.473

df=8-1=7

p-value=tdist(1.473,7,2)=0.1842

critical vale=tinv(0.05,7)=+/-2.365

Do not reject the null hypothesis,as test statistic does not lie in rejection region.

We can conclude that Uber drivers and taxicab drivers do not differ with respect to number of rides per day.