A government organization is examining the effectiveness of a program intended to shorten security lines at airports for"trusted travelers". For comparisonpurposes, 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.

a. Calculate the sample mean and the sample standard deviation for this sample of passenger times.

(1) The sample mean is ___ seconds

(2) The sample standard deviation is ___ seconds

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.

c. What is the margin of error for the confidence interval constructed in partb?

e=_____seconds

data:

367 206 231 285 149 356 144 315 286 176 223 184 297 194 292 217 151 324 151 84 326 281 375 204 256 358 229 309 276 421 114 185 224 285 267 198 218 380 210 362 187 390 255 237 301 139 222 311 398 311 37 212 242 128 299 239 219 131 299 270 82 308 124 314 180 207 256 370 343 199 320 250 147 194 177 243 288 354 259 124 190 304 409 363 261 312 422 326 230 279 177 274 119 307 275 387 278 434 319 261 238 197 137 232 206 321 357 341 164 332 245 376 235 230 300 222 142 244 216 360 239 244 369 238 229 222 297 297 226 197