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. Find the large-sample rejection region for the test of interest to the college when using a level of significance of 0.05.

Question

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. Find the large-sample rejection region for the test of interest to the college when using a level of significance of 0.05. A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 1.645$ or $\mathrm { z } > 1.645$. B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } > 1.645$. C) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 1.96$. D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 1.96$ or $\mathrm { z } > 1.96$.

Quizplus · Accepted Answer

For a two-tailed test at a 0.05 significance level, the critical z-values are -1.96 and 1.96. Thus, we reject the null hypothesis if the z-score is less than -1.96 or greater than 1.96.

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