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Part B, Question 1:
The historical record shows the average travelling time in a traffic network is 24 min with a standard deviation as 2 min. Use the samples listed in the table below to decide whether there is a significant improvement in the average travelling time when a new traffic control method is applied. Assume the travelling time follows Normal distribution and the standard deviation will not be affected by the new method. Select the level of significance as 0.01.
sample #
|
1
|
2
|
3
|
4
|
5
|
new travelling time (min)
|
20.5
|
24
|
24.5
|
19.5
|
21.5
|
(a) Please choose the most appropriate type of hypothesis test.