Based on past records, it is generally believed that on an average, a typical University of Technology and Applied Sciences, Nizwa student spends about 25 hours in the LRC per week. Recently, the library has been shifted to a new location which is further away from the academic block. As a result, the administration feels that students may be spending less time in the library. Accordingly a random sample of 41 students were selected and the average number of hours they spend in the library came out to be 16.78 with a standard deviation of 5.17. Carry out an appropriate test of hypotheses for the above problem to test whether the shifting of the library has adversely impacted the study time in the population of all students. (You may assume that study times/week approximately follow a normal distribution in the population).