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. studen 1 2 3 4 5 6 7 8 9 10 Car 17 20 10 25 20 18 10 20 20 10 bus 12 15 12 18 22 10 12 22 15 12 Difference 5 5 -2 7 -2 8 -2 -2 5 -2 a. What range of values is the p-value in? b. Is there evidence to reject H0 with the adopted significance level?
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. studen 1 2 3 4 5 6 7 8 9 10 Car 17 20 10 25 20 18 10 20 20 10 bus 12 15 12 18 22 10 12 22 15 12 Difference 5 5 -2 7 -2 8 -2 -2 5 -2 a. What range of values is the p-value in? b. Is there evidence to reject H0 with the adopted significance level?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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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.
| studen | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Car | 17 | 20 | 10 | 25 | 20 | 18 | 10 | 20 | 20 | 10 |
| bus | 12 | 15 | 12 | 18 | 22 | 10 | 12 | 22 | 15 | 12 |
| Difference | 5 | 5 | -2 | 7 | -2 | 8 | -2 | -2 | 5 | -2 |
a. What
b. Is there evidence to reject H0 with the adopted significance level?
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