A government organization is examining the effectiveness of a program intended program to pass through security at a certain international airport. The accompanying data contain the results. Complete parts a through c below. o shorten security lines at airports for "trusted travelers". For comparison purposes, a sample was obtained of the time in seconds it took passenge 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 is normally distributed. Use the sample data to construct a 95% confidence interval estimate for the average time required to pass through securit The 95% confidence interval is seconds seconds. O Security Time Data (Round to two decimal places as needed.) c. What is the margin of error for the confidence interval constructed in part b? e= tseconds 369 222 148 164 (Round to two decimal places as needed.)

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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
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.
Security Time Data
(Round to two decimal places as needed.)
c. What is the margin of error for the confidence interval constructed in part b?
seconds
369
222
148
164
(Round to two decimal places as needed.)
207
380
193
330
228
207
176
243
286
364
242
372
148
187
288
233
360
387
357
232
144
254
261
303
319
237
124
222
285
298
194
144
176
138
304
247
224
224
407
218
184
313
367
362
299
402
261
243
195
311
311
245
296
37
428
368
Enter your answer in each of the answer boxes.
216
209
331
240
150
240
230
229
MacBook Pro
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20
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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 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. Security Time Data (Round to two decimal places as needed.) c. What is the margin of error for the confidence interval constructed in part b? seconds 369 222 148 164 (Round to two decimal places as needed.) 207 380 193 330 228 207 176 243 286 364 242 372 148 187 288 233 360 387 357 232 144 254 261 303 319 237 124 222 285 298 194 144 176 138 304 247 224 224 407 218 184 313 367 362 299 402 261 243 195 311 311 245 296 37 428 368 Enter your answer in each of the answer boxes. 216 209 331 240 150 240 230 229 MacBook Pro 000 20 888 esc @ 23 $ & 2 3 4 5 7 8 9 del 1 Q W E T Y U 11 G H K L
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