Question

1. 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

We use Excel to solve this question-

From F test P-value > 0.05 therefore we use pooled standard deviation.
The null and alternative hypothesis are,

Critical value = 2.120
Obtained Value of test statistic = 1.496
P-value=0.1541
P-value > 0.05, Do not Reject Ho
Conclusion-
Fail to reject Ho, There is insufficient evidence to say Uber drivers and taxicab drivers differ with respect to number of rides per day.