10. Historically, the average grade of final exams in a design course in engineering department is 174 with standard deviation of 14. For the course that is running this semester, Ms. Smith, the course instructor, marked five exam papers having the following grades: 155, 179, 175, 175,161. Assuming the approximately normal distribution of results in final exams, identify whether there is enough evidence in the sample, at the 5% level of confidence, to presume that the average grade of the final exam is less than 179?