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. A 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 is 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 normally distributed. Use the sample data to construct a 99% confidence interval estimate for the average time required to pass through security. The 99% confidence interval is seconds- seconds. (Round to two decimal places as needed.) Security Time Data c. What is the margin of error for the confidence interval constructed in part b? e=t seconds (Round to two decimal places as needed.) 371 218 147 164 207 370 103 a00

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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.
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 is
seconds.
(Round to two decimal places as needed.)
The sample standard deviation is
(Round to two decimal places as needed.)
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 99% confidence interval estimate for the average time required to pass through security.
The 99% confidence interval is
seconds-
seconds.
(Round to two decimal places as needed.)
Security Time Data
c. What is the margin of error for the confidence interval constructed in part b?
e = +
seconds
(Round to two decimal places as needed.)
371
218
147
164
207
379
192
329
228
208
178
244
288
366
244
371
150
185
288
232
360
388
352
228
142
253
259
299
320
235
124
220
287
302
194
143
175
138
305
244
226
222
407
215
183
313
365
359
297
400
264
239
Enter your answer in each of the answer boxes.
193
307
310
245
296
37
424
374
?
218
210
326
240
150
243
229
231
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Transcribed Image Text: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. 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 is seconds. (Round to two decimal places as needed.) The sample standard deviation is (Round to two decimal places as needed.) 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 99% confidence interval estimate for the average time required to pass through security. The 99% confidence interval is seconds- seconds. (Round to two decimal places as needed.) Security Time Data c. What is the margin of error for the confidence interval constructed in part b? e = + seconds (Round to two decimal places as needed.) 371 218 147 164 207 379 192 329 228 208 178 244 288 366 244 371 150 185 288 232 360 388 352 228 142 253 259 299 320 235 124 220 287 302 194 143 175 138 305 244 226 222 407 215 183 313 365 359 297 400 264 239 Enter your answer in each of the answer boxes. 193 307 310 245 296 37 424 374 ? 218 210 326 240 150 243 229 231 MacBook Pro esc 888 000 # $ & 2 3 4 5 7 8 9 Q W E R Y U く。 %24 00
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