16 7 18 19 so 51 4. Part 1 The manager for Nutrecal, a food supplement product, would like to predict the sales for her product. She thinks the sales might be affected by the price, the level of advertising (in $1000s) and the number of sales representatives. She collects the information below from 20 sales districts. Price ($) Sales ($1000s) 2 53 54 65 56 7 58 59 50 51 52 53 Advertising Expenses ($1000s) 174.0 27.5 169.7 497.0 270.5 44.5 63.8 229.5 380.5 112.2 348.3 183.2 243.2 365.1 320.7 130.9 371.6 243.8 499.5 200.9 475 475 450 400 400 475 450 400 395 450 400 425 425 450 400 450 425 430 400 450 900.0 276.4 1555.2 4275.0 27072 439.2 1209.6 2966.0 3500.0 1332.0 3565.6 1928.0 2431.8 2196.0 2830.4 1483.2 2669.7 1732.8 2902.4 2076.4 Number of Sales Representative 4 7 5 12 4 5 4 10 14 5 11 6 3 3 9 2 15 8 12 5 55 36 37 58 59 70 71 22 73 a. Obtain the summary statistics for the Advertising Expenses. (8 pts.) 75 76 77 78 79 80 81 82 83 84 85 86 87 192 193 194 195 b. Give the Five Number Summary for the advertising expenses. (10 pts.) You MUST do this, regardless of whether the distribution is symmetric or skewed. 196 197 198 199 200 201 202 203 204 205 206 207 c. Describe the distribution of the advertising expenses. (32 pts.) 208 d. Construct the appropriate chart to show the shape of the distribution of the advertising expenses. (20 pts.) 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 e. A new sales district spent $510,000 on advertising. Is it appropriate to use the Empirical Rule to determine if this is an unusually high amount of advertising expenses Yes No (2 pts.) If so, use it to determine whether this is an unusually high amount of advertising expenses. If not, state why the Empirical Rule is not appropriate. (2 pts.) 16 7 18 19 so 51 4. Part 1 The manager for Nutrecal, a food supplement product, would like to predict the sales for her product. She thinks the sales might be affected by the price, the level of advertising (in $1000s) and the number of sales representatives. She collects the information below from 20 sales districts. Price ($) Sales ($1000s) 2 53 54 65 56 7 58 59 50 51 52 53 Advertising Expenses ($1000s) 174.0 27.5 169.7 497.0 270.5 44.5 63.8 229.5 380.5 112.2 348.3 183.2 243.2 365.1 320.7 130.9 371.6 243.8 499.5 200.9 475 475 450 400 400 475 450 400 395 450 400 425 425 450 400 450 425 430 400 450 900.0 276.4 1555.2 4275.0 27072 439.2 1209.6 2966.0 3500.0 1332.0 3565.6 1928.0 2431.8 2196.0 2830.4 1483.2 2669.7 1732.8 2902.4 2076.4 Number of Sales Representative 4 7 5 12 4 5 4 10 14 5 11 6 3 3 9 2 15 8 12 5 55 36 37 58 59 70 71 22 73 a. Obtain the summary statistics for the Advertising Expenses. (8 pts.) 75 76 77 78 79 80 81 82 83 84 85 86 87 192 193 194 195 b. Give the Five Number Summary for the advertising expenses. (10 pts.) You MUST do this, regardless of whether the distribution is symmetric or skewed. 196 197 198 199 200 201 202 203 204 205 206 207 c. Describe the distribution of the advertising expenses. (32 pts.) 208 d. Construct the appropriate chart to show the shape of the distribution of the advertising expenses. (20 pts.) 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 e. A new sales district spent $510,000 on advertising. Is it appropriate to use the Empirical Rule to determine if this is an unusually high amount of advertising expenses Yes No (2 pts.) If so, use it to determine whether this is an unusually high amount of advertising expenses. If not, state why the Empirical Rule is not appropriate. (2 pts.)