Q6. The operations manager at a brewery that runs 24 hours per day has determined that 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 lost 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 another random sample of 36 days and compute the average amount of lost time. In order to justify the purchase of the new equipment, he is now looking for sufficient evidence to conclude that the population mean amount of lost time is less than 3.4 hours per day. As such, the hypotheses are Ho: 23.4 hours and H.