According to a national survey, the average commuting time for people who commute to work is 19.0 minutes. Suppose a researcher wants to test this claim. Taking a random sample of 20 commuters, the researcher calculates a mean time of 19.346 minutes and a standard deviation of 2.842 minutes.
-The null and alternative hypotheses to test the claim is _____.

Question

Quizplus · Accepted Answer

The correct hypothesis to test the claim that the average commuting time is 19.0 minutes is to set the null hypothesis ($H_0$) as the mean ($\mu$) equal to 19 minutes and the alternative hypothesis ($H_a$) as the mean not equal to 19 minutes, which allows for testing if the actual mean is either less than or greater than 19 minutes.

According to a National Survey, the Average Commuting Time for People