A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 20 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used to conduct a test of hypothesis. The goal was to determine if the average travel time of all the university's students differed from 20 minutes. Suppose the small-sample test statistic was calculated to be t = 1.729. Find the p-value for this test of the hypothesis.

Question

Mathematics

Lilianna Zuniga

5 September, 14:28

A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 20 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used to conduct a test of hypothesis. The goal was to determine if the average travel time of all the university's students differed from 20 minutes. Suppose the small-sample test statistic was calculated to be t = 1.729. Find the p-value for this test of the hypothesis.

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Sumo · Answer 1

p = 0.100024

Step-by-step explanation:

Given that a large university is interested in learning about the average time it takes students to drive to campus. The university sampled 20 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used to conduct a test of hypothesis.

H0: sample mean = 20

Ha: sample mean ≠20

(two tailed test)

Test statistic t = 1.729

n = 20

df = 19

p value = 0.100024