Question: It was hypothesized that state government clerical employees did not engage in productive work 20 minutes on the average out of every hour. Some claimed the time lost was greater than 20 minutes. An actual study was conducted at a Midwestern state government using a stopwatch and other ways of checking the work habits of the clerical employees. A random check of the employees revealed the following unproductive times, in minutes, during a one-hour period (excluding of regularly scheduled breaks):

Using the 0.05 significance level, is it reasonable to conclude the mean unproductive time is greater than 20 minutes?