(Solved): Please answer using template in problem. 19. The average wear time for a particular brand of socks ...

Please answer using template in problem.

19. The average wear time for a particular brand of socks (assuming 8-hour days, one day of wear per week) is 16 months. A researcher believes that the average lifetime for this particular brand of socks is less than 16 months. He researched the lifetime of 45 pair of these particular socks and found that the average lifetime was \( 15.9 \) months. The population standard deviation is \( 1.7 \) months. At \( \alpha=0.01 \), can it be concluded that the average lifetime for this particular brand of socks is less than 16 months? Conduct a hypothesis test and construct the corresponding confidence interval to support your analysis. Analysis 1: Analysis 2: Summary statement: