Example # 2: Based on the information from the U.S. Census Bureau, the mean travel
time to work in minutes for all workers 16 years old and older was 25.3 minutes. A large
company with offices in several states randomly sampled 97 of its workers to ascertain
their commuting times. The sample mean was 18.6 minutes, and the population
standard deviation is 5.39 minutes. At the 0.01 level of significance can it be concluded
that the mean commuting time is less for this particular company?
Step 1: write the null and the alternative hypothesis and identify the claim
Step 2: find the critical value(s)
Step 3: find the test value
Step 4: make the decision
Step 5: summarize the result