A government organization is examining the effectiveness of a program intended to shorten security lines at airports for "trusted travelers". For comparison purposes, a sample was obtained of the time in seconds it took passengers not on the program to pass through security at a certain international airport. The accompanying data contain the results. Complete parts a through c below. E Click the icon to view the security time data. a. Calculate the sample mean and the sample standard deviation for this sample of passenger times. The sample mean isO seconds. (Round to two decimal places as needed.) The sample standard deviation is seconds. (Round to two decimal places as needed.) b. Assume that the distribution of time required to pass through security at this airport is normally distributed. Use the sample data to construct a 95% confidence interval estimate for the average time required to pass through security. The 95% confidence interval is seconds- seconds. (Round to two decimal places as needed.) c. What is the margin of error for the confidence interval constructed in part b? + seconds (Round to two decimal places as needed.) 1. 37 190 227 273 314 396 83 192 228 274 319 407 3 84 193 230 277 320 420 278 427 434 4 114 193 232 321 121 196 235 281 322 123 197 238 285 328 7 125 198 238 285 331 8 127 201 239 285 331 133 205 241 289 337 10 137 207 241 293 341 11 139 207 241 295 352 12 142 208 241 298 356 13 143 208 243 299 358 14 148 215 243 299 359 15 149 218 244 299 360 16 151 218 248 299 362 17 152 220 253 301 366 18 165 220 254 307 370 19 176 222 256 308 370 20 177 223 259 308 371 21 178 224 259 309 372 22 181 226 261 309 378 23 183 226 267 310 383 24 184 227 271 310 387 25 185 227 272 313 391