The operations manager at a distribution center has two choices of routes for ma

Question

The operations manager at a distribution center has two choices of routes for making a weekly delivery to a retail store. He wants to choose the route that will require, on average, the least amount of time for the delivery. To determine which route is faster, on average, he randomly selected 10 days and had the driver take Route 1, and then randomly selected 10 different days and had the driver take Route 2. The amount of time required to make the delivery each day was recorded. From the data, the manager constructed the following 95% confidence interval for the difference in mean delivery times (Route 1 - Route 2): (-1 minutes, 9 minutes). Based on this confidence interval, which of the following is a correct statement? Choose the correct answer below. A. There is not enough evidence at the 5% significance level to indicate that the average delivery times for the two routes are the same. B. There is evidence at the 5% significance level to indicate that one route is faster, on average, since one bound is close to 0. C. There is not enough evidence at the 5% significance level to indicate that one route is faster, on average, since 0 falls within the bounds of the confidence interval. D. There is evidence at the 5% significance level to indicate that one route is faster, on average, since 0 falls between the bounds of the confidence interval.

Explanation / Answer

C is the answer

0 lies in the interva

Hence the average time on both routes are same.

There no evidence the they are different

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