The operation manager at a distribution center has two choices of routes for mak

Question

The operation 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 times for the delivery. To determine which route is faster, on average, be randomly selected 10 days, and had the driver Like Route 1, and then randomly selected 10 different days and had the driver take Route 2. The amount of time required to make that delivery each day was recorded. From the data, the manager constructed the following 95% confidence interval for the difference in mean delivery lines (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 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. There is not enough evidence at the 5% significance level to indicate that the average delivery times for the two routes are the same. There is evidence at the 5% significance level to indicate that one route in faster. on average, since one bound is close to 0. 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.

Explanation / Answer

Confidence interval is from -1 to 9 so it contains zero. That is on the basis the confidence interval we cannot conclude that mean delivery are different for two routes.

Hence, option D is correct.

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