Due to yet another road construction project in her city, Sarah must take a deto

Question

Due to yet another road construction project in her city, Sarah must take a detour to get from work to her house. Not convinced the detour is the shortest route, Sarah decided to perform an experiment. On each trip, she flips a coin to decide which way to go; if the coin flip is heads, she takes the detour and if it's tails, she takes her alternative route. For each trip, she records the time it takes to drive from work to her house in minutes. She repeats this procedure 13 times. Sarah wants to know if the mean driving time for the alternative route is different from the mean driving time for the detour. Based on the data and significance level, she decides to fail to reject the null hypothesis. Select the appropriate conclusion for this hypothesis test.

a. There is enough evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.

b. There is not enough evidence to conclude the mean driving time for the alternative route is the same as the mean driving time of the detour.

c. There is enough evidence to conclude the mean driving time for the alternative route is the same as the mean driving time of the detour.

d. There is not enough evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.

Explanation / Answer

Sarah wants to know if the mean driving time for the alternative route is different from the mean driving time for the detour. Now, she decides to fail to reject the null hypothesis.

Thus it may be concluded that:

d. There is not enough evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.

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