In a company, the HR department is able to identify a small number of staff members who were clocking in at irregular hours in the morning. To determine the punctuality of the staff members, the HR manager would like to identify whether the staff members’ travel time to work (in minutes) affects their punctuality. He chooses a random sample of 30 members for his survey:

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a. What is the best point estimate for the average travel time to work (in minutes) for staff members?

Calculate the value.

b. Construct a 99% confidence interval for the staff average travel time to work (in minutes).

c. Can the HR manager justify that the staff members in the company have an average time of one hour to travel to work? Explain