A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 238 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used 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 sample mean and sample standard deviation were calculated to be 23.2 and 20.26 minutes, respectively. Calculate the value of the test statistic to be used in the test.
A) z = 2.437
B) z = 37.59
C) z = 0.173
D) z = 2.551

Question

Quizplus · Accepted Answer

The test statistic for a hypothesis test about a population mean is given by:z = (x̄ - μ) / (σ / √n)where x̄ is the sample mean, μ is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.In this case, we have x̄ = 23.2, μ = 20, σ = 20.26, and n = 238. Plugging these values into the formula, we get:z = (23.2 - 20) / (20.26 / √238) = 2.437Therefore, the value of the test statistic is 2.437.

A Large University Is Interested in Learning About the Average