06. The operations manager at a brewery that runs 24 hours per day has determined the the amount of production time lost each day (24-hour period) due to equipment failure is a normally distributed random variable, X. Historically, the population mean amount of los time has been assumed to be ,u = 3.4 hours per day. The manager decides to upgrade the equipment and after 4 months, he will select anothe random sample of 36 days and compute the average amount of lost time. In order tojustif the purchase of the new equipment, he is now looking for sufficient evidence to concludl that the population mean amount of lost time is less than 3.4 hours per day. As such, th: hypotheses are H0 : ,u :_> 3.4 hours and H, : p