A company and its union are contemplating changes to the company pension plan. The company representative claims that the average number of years of service for the employees of the company is greater than 20. The union disagrees and claims that the representative's claim is too high. A sample of 24 employees was selected. The number of years of service for each of these employees is as follows: 26 20 18 22 19 25 24 20 26 19 21 19 10 21 22 25 22 27 17 20 23 22 28 20 a) Test the claim of the company representative at the 4% level of significance. Clearly show the steps of the hypothesis test that you use, and express your final conclusion using a clear English sentence. (12 marks) b) Determine the 98% confidence limit for the number of years of service for employees in the company. (3 marks)