A manufacturer has been implementing a just-in-time inventory system for its production line. The final product requires a hinge to be installed at a particular station on the assembly line. Ideally, the next hinge would arrive at the station just when the operator needed it. However, due to various factors, some buildup of hinges at the station is to be expected. Of concern is the variance of the inventory of hinges. The company wants to ensure that the variance is 16. If the variance is not 16, then adjustments must be made to bring it under control. On a given day, an analyst at the company records the inventory of hinges at 46 randomly selected times. The variance of the sample is found to be 23.72. Conduct a hypothesis test at the = 0.05 significance level to find out if the population variance of hinges is different than 16. Based on your results, do adjustments need to be made?