USA TODAY reported that Americans spend 4.1 hours per weekday checking work email (October 14, 2016). This was an estimate based on a survey of 1004 white-collar workers in the United States.

a. Suppose that you would like to know if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hour workday. What would you need to assume about the sample to use the given sample data to answer this question?

b. Given that any concerns about the sample were satisfactorily addressed, carry out a test to decide if there is evidence that the mean time spent checking work email for white-collar workers in the United States is more than half of the 8-hour workday.