Problem 1 A random sample of 32 advertising managers from across the United States is taken. The advertising managers are contacted by telephone and asked what their annual salary is. A similar random sample is taken of 34 auditing managers. The resulting salary data are listed in table, along with the sample means, the sample standard deviation, and the sample variances. Help the business analyst in testing (a = 0.05) to determine whether there is a difference in the average wage of an advertising manager and an auditing manager. ADVERTISING MANAGER (000s) 74.256 AUDITING MANAGER (000s) 69.962 55.052 96.234 89.807 57.828 93.261 63.362 37.194 99.198 103.030 74.195 75.932 61.254 80.742 73.065 39.672 48.036 45.652 60.053 93.083 66.359 63.384 61.261 57.791 77.136 65.145 66.035 96.767 54.335 77.242 42.494 67.056 83.849 64.276 67.160 74.194 37.386 65.360 59.505 73.904 72.790 54.270 71.351 59.045 58.653 68.508 63.508 71.115 43.649 67.574 63.369 59.621 59.676 62.483 54.449 69.319 46.394 35.394 71.804 86.741 72.401 57.351 56.470 67.814 71.492 ni = 32 X1-bar = 70.700 S1 = 16.253 S1? = 264.160 n2 = 34 X2-bar = 62.187 S2 = 12.900 s2? = 166.410 (4 morke)