urs (Y) resent (X1 245 338 414 177 333 596 270 358 656 211 372 631 196 339 528 135 289 409 195 334 382 118 293 399 116 325 343 147 311 338 154 304 353 146 312 289 115 283 388 161 307 402

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 6E
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Total Staff
Remote
Standby
Hours (Y) Present (X,) Hours (X,)
245
338
414
177
333
596
270
358
656
211
372
631
196
339
528
135
289
409
195
334
382
118
293
399
116
325
343
147
311
338
154
304
353
146
312
289
115
283
388
161
307
402
274
322
151
245
335
228
201
350
271
183
339
440
237
327
475
175
328
347
152
319
449
188
325
336
188
197
322
267
317
235
261
315
164
232
331
270
Transcribed Image Text:Total Staff Remote Standby Hours (Y) Present (X,) Hours (X,) 245 338 414 177 333 596 270 358 656 211 372 631 196 339 528 135 289 409 195 334 382 118 293 399 116 325 343 147 311 338 154 304 353 146 312 289 115 283 388 161 307 402 274 322 151 245 335 228 201 350 271 183 339 440 237 327 475 175 328 347 152 319 449 188 325 336 188 197 322 267 317 235 261 315 164 232 331 270
The business problem facing the director of broadcasting operations for a television station was the issue of standby hours
(i.e. hours in which unionized graphic artists at the station are paid but are not actually involved in any activity) and what
factors were related to standby hours. A study of standby hours was conducted for 26 weeks. The variables in the study are
described below and the data from the study are shown in the accompanying table. Complete parts a through g below.
Standby hours (Y)-Total number of standby hours in a week
Total staff present (X,)-Weekly total of people-days
Remote hours (X,)-Number of hours worked by employees off-site
d. Predict the mean standby hours for a week in which the total staff present have 310 people-days and the remote hours
are 400.
There would be
standby hours predicted for the week.
(Round to two decimal places as needed.)
e. Construct a 95% confidence interval estinate for the mean standby hours for weeks in which the total staff present have
310 people-days and the remote hours are 400.
The 95% confidence interval estimate is sHyxS-
(Round to two decimal places as needed.)
f. Construct a 95% prediction interval for the standby hours for a single week in which the total staff present have 310
people-days and the remote hours are 400.
The 95% prediction interval for the standby hours is SYxs.
(Round to two decimal places as needed.)
g. What conclusions can you reach concerning standby hours?
A. The model uses the number of remote hours to predict the number of standby hours. The number of staff present
only affects the remote hours directly.
B. The model uses both the number of staff present and the remote hours to predict the number of standby hours. This
produces a better model than if only one variable were included.
Transcribed Image Text:The business problem facing the director of broadcasting operations for a television station was the issue of standby hours (i.e. hours in which unionized graphic artists at the station are paid but are not actually involved in any activity) and what factors were related to standby hours. A study of standby hours was conducted for 26 weeks. The variables in the study are described below and the data from the study are shown in the accompanying table. Complete parts a through g below. Standby hours (Y)-Total number of standby hours in a week Total staff present (X,)-Weekly total of people-days Remote hours (X,)-Number of hours worked by employees off-site d. Predict the mean standby hours for a week in which the total staff present have 310 people-days and the remote hours are 400. There would be standby hours predicted for the week. (Round to two decimal places as needed.) e. Construct a 95% confidence interval estinate for the mean standby hours for weeks in which the total staff present have 310 people-days and the remote hours are 400. The 95% confidence interval estimate is sHyxS- (Round to two decimal places as needed.) f. Construct a 95% prediction interval for the standby hours for a single week in which the total staff present have 310 people-days and the remote hours are 400. The 95% prediction interval for the standby hours is SYxs. (Round to two decimal places as needed.) g. What conclusions can you reach concerning standby hours? A. The model uses the number of remote hours to predict the number of standby hours. The number of staff present only affects the remote hours directly. B. The model uses both the number of staff present and the remote hours to predict the number of standby hours. This produces a better model than if only one variable were included.
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