Question
The table shows the differences between 5 minute and 2 minute conditions on a number of measures such as 'number of rides', 'rider cancellations'. 'number
The table shows the differences between "5 minute" and "2 minute" conditions on a number of measures such as 'number of rides', 'rider cancellations'. 'number of POOL trips' (people getting tired of waiting and switching to the more expensive POOL trips with matching within seconds, etc.
If you use the number of trips, the 'Cost per trip to Uber' (2 minutes is $0.36 less costly for Uber than 5 minutes), and multiply by 9 (number of blocks of time in a day using the Switchback experiment), times 21 (3 weeks or 21 days left in the experiment), times 6 (number of cities in which the experiment is running), you can calculate the desired number. You should get an answer around $1.6 million, which according to one of the Uber executives (last paragraph of case) is the amount of savings that Uber would get from immediately switching all 5 minute experimental conditions to 2 minutes. The executive did a 'back-of the-envelope' calculation to get $1.6 million. I am asking you to replicate his calculation and show how he arrived at that number or something close to it.
Apart from doing this calculation you can comment on the results of the t-tests, which are tests of the 'difference between two sample means'. If the t test statistic associated with a comparison is less than "2.0" in magnitude (ignoring the sign) and if the probability of that t result is less than 0.05, that means the difference between the two means (between the 5 minute and 2 minue samples) is statistically significant. If not, then the result could have occurred due to random chance.
\begin{tabular}{|l|r|r|r|r|r|} \hline & Avg 5 min & Avg 2 min & Avg 5 min-Avg 2min & \multicolumn{2}{|c|}{ p-value } \\ \hline Ridesharing trips & 3880 & 3967 & 87 & 0.85 & 0.397 \\ \hline POOL trips & 1461 & 1355 & 106 & 2.33 & 0.021 \\ \hline Express POOL trips & 2419 & 2612 & 193 & 2.2 & 0.03 \\ \hline Rider cancellations & 190 & 165 & 25 & 2.76 & 0.007 \\ \hline & & & & & \\ \hline Cost per trip to Uber & $7.00 & $7.36 & (\$0.36) & 3.46 & 0.001 \\ \hline Match rate & 0.62 & 0.66 & 0.04 & 2.52 & 0.013 \\ \hline Double match rate & 0.35 & 0.32 & 0.03 & 2.48 & 0.014 \\ \hline \end{tabular} \begin{tabular}{|l|r|r|r|r|r|} \hline & Avg 5 min & Avg 2 min & Avg 5 min-Avg 2min & \multicolumn{2}{|c|}{ p-value } \\ \hline Ridesharing trips & 3880 & 3967 & 87 & 0.85 & 0.397 \\ \hline POOL trips & 1461 & 1355 & 106 & 2.33 & 0.021 \\ \hline Express POOL trips & 2419 & 2612 & 193 & 2.2 & 0.03 \\ \hline Rider cancellations & 190 & 165 & 25 & 2.76 & 0.007 \\ \hline & & & & & \\ \hline Cost per trip to Uber & $7.00 & $7.36 & (\$0.36) & 3.46 & 0.001 \\ \hline Match rate & 0.62 & 0.66 & 0.04 & 2.52 & 0.013 \\ \hline Double match rate & 0.35 & 0.32 & 0.03 & 2.48 & 0.014 \\ \hline \end{tabular}Step by Step Solution
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