Question

A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.7 minutes. Assume the distribution of trip times to be normally distributed. Complete parts (a) through (e) below.

Answer 1

The question asks if the Austin, TX commute time is significantly less than the mean commute time for the 15 largest US cities. Hypothesis testing with a one-sample t-test can be used to answer this question.

Step-by-step explanation:

The question is asking whether the commute time in Austin, TX is significantly less than the mean commute time in the 15 largest US cities. To answer this question, hypothesis testing is used.

First, the null hypothesis (H0) states that the mean commute time in Austin, TX is equal to the mean commute time for the 15 largest US cities. The alternative hypothesis (Ha) states that the mean commute time in Austin, TX is less than the mean commute time for the 15 largest US cities.

To test this hypothesis, a one-sample t-test can be used. The test statistic is calculated by subtracting the sample mean from the population mean and dividing it by the standard error of the mean. If the test statistic falls in the rejection region (determined by the chosen significance level), the null hypothesis is rejected and it can be concluded that the commute time in Austin, TX is significantly less than the mean commute time for the 15 largest US cities.