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Two men, A and B, who usually commute to work together decide to conduct an experiment to see whether one route is faste

Posted: Mon Nov 15, 2021 12:41 pm
by answerhappygod
Two men, A and B, who usually commute to work together decide to
conduct an experiment to see whether one route is faster than the
other. The men feel that their driving habits are approximately the
same, so each morning for two weeks one driver is assigned to route
I and the other to route II. The times, recorded to the nearest
minute, are shown in the following table. Using this data, find
the 98%98% confidence interval for the true mean
difference between the average travel time for route I and the
average travel time for route II.
Let d=(route I travel time)−(route II travel time)d=(route I travel time)−(route II travel time).
Assume that the populations of travel times are normally
distributed for both routes.
Copy Data
Step 2 of 4:
Find the critical value that should be used in constructing the
confidence interval. Round your answer to three decimal places.
Step 3 of 4:
Find the standard deviation of the paired differences to be used
in constructing the confidence interval. Round your answer to one
decimal place.
Step 4 of 4:
Construct the 98%98% confidence interval. Round your
answers to one decimal place.