9.15 Flextime Many companies are becoming involved in flextime, in which a worker schedules his or her own work hours or compresses work weeks. A com- pany that was contemplating the installation of a flex- time schedule estimated that it needed a minimum mean of 7 hours per day per assembly worker in order to oper- ate effectively. Each of a random sample of 80 of the company's assemblers was asked to submit a tentative flextime schedule. If the mean number of hours per day for Monday was 6.7 hours and the standard deviation was 2.7 hours, do the data provide sufficient evidence to indicate that the mean number of hours worked per day on Mondays, for all of the company's assemblers, will be less than 7 hours? Test using a = 0.05.