A group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%. studen 1 2 3 4 5 6 7 8 Car 15 20 20 20 17 15 10 18 bus 10 22 15 20 12 10 12 10 Difference 5 -2 5 0 5 5 -2 8 a. The test hypotheses in this study are: H0: μd=μCar−μBus=0 and Ha: μd=μCar−μBus  > 0? b. The test statistic value calculated based on the data is: c. The critical (absolute) value of the test for the desired significance level is:

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A group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%.

studen 1 2 3 4 5 6 7 8
Car 15 20 20 20 17 15 10 18
bus 10 22 15 20 12 10 12 10
Difference 5 -2 5 0 5 5 -2 8

a. The test hypotheses in this study are: H0: μd=μCar−μBus=0 and Ha: μd=μCar−μBus  > 0?

b. The test statistic value calculated based on the data is:

c. The critical (absolute) value of the test for the desired significance level is:

 

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