question 2 b

Question 2. A company is looking for a new benefits package. They consult 5 benefit providers and investigate the amount employees would save yearly using historical data. Because variability is expected to change over employees, a randomized block design was performed. Amount Employee Package 1 2 3 4 A 142 3122 1145 721 B 243 3125 C 121 1242 998 644 D 214 1519 1041 E 332 1542 1111 822 Part A. Test whether package A is better for the employee than the average of package D and E. Be sure to include the 4 steps of an hypothesis test. Part B. Test whether blocking significantly reduced the overall variance of the model