A group of n = 10 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). Carry out an appropriate hypothesis test at the α=6% significance level. Aluno 1 2 3 4 5 6 7 8 9 10 Carro 17 20 10 25 20 18 10 20 20 10 Ônibus 12 15 12 18 22 10 12 22 15 12 Diferença 5 5 -2 7 -2 8 -2 -2 5 -2 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 = 10 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). Carry out an appropriate hypothesis test at the α=6% significance level.

Aluno 1 2 3 4 5 6 7 8 9 10
Carro 17 20 10 25 20 18 10 20 20 10
Ônibus 12 15 12 18 22 10 12 22 15 12
Diferença 5 5 -2 7 -2 8 -2 -2 5 -2

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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