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. What range of values is the p-value in? b. There is evidence to reject H0 with the level of significance adopted?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure 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. What range of values is the p-value in?

b. There is evidence to reject H0 with the level of significance adopted?

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