The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 68.92 79.66 69.56 84.65 80.91 87.03 101.01 98.34 o A Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. One can be % confident that the all cities have a travel tax between $ and S. O B. One can be % confident that the mean travel tax for all cities is between S and $ OC. There is a % probability that the mean travel tax for all cities is between S and S. OD. The travel tax is between S and S for % of all cities. (c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data? O A. The researcher could increase the level of confidence. O B. The researcher could increase the sample mean. OC. The researcher could decrease the level of confidence O D. The researcher could decrease the sample standard deviation.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Aua in
vigt ta
1-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0,20
L15
0.10
1.05
0.025
O.AMIS 0.0025
0.H01 0.0005
1.376 1963
1.061
1.386
0.978
1.250
0941
1.190
0.920
1.156
3.78
1.886
1,638
1.533
1.476
6.314
2.920
2.33
2.132
2.015
12.706
4.303
3.182
15.894 3121
1.000
0816
0.765
0.741
0.727
63,657
9925
5.841
4.604
4.032
127321 318.309 636.619
31.99
12.924
8610
6.869
4.849
6.965
14.089
7453
5.598
4.773
22.327
10.215
2173
3482
4.541
2.776
2.571
2.999
2.757
3.747
3.365
5.208
4.785
0,718
0.711
0.706
0.703
0.700
0.697
0.695
0.694
0.692
0.691
1.134
1.119
1.108
1.100
1093
140
1415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1943
1895
1860
1833
1812
1.796
1782
1.771
1.761
1.753
2.447
2.612
3.143
2.998
0.906
0.896
0.889
0.883
O879
2.365
2.306
2.262
2.228
2.517
2.449
2398
2.896
2.821
2.764
3.707
3.499
3.355
3,250
4317
4.029
3.833
3.690
3.581
5959
5.408
S041
4.781
4.587
4.501
4.297
6.
10
2.359
3.169
4.144
4.025
3.930
O876
0873
O870
0868
0866 1074
2.201
2.179
2.160
2.145
2.131
2.328
2.718
2.681
2.650
2.624
2.602
3.497
4.437
4.318
11
12
13
14
15
1.088
3.106
3.055
3.012
2.977
2.947
LO83
2303
2282
2.264
2.249
3.428
3372
3326
4.221
4.140
4.073
1076
3.787
3.733
3.286
0.865
0863
0862
0.861
0.860
1071
1.069
1067
1.337
1.746
2.235
2.224
16
17
18
19
20
0.690
0.69
0.688
0.688
0.687
2.120
2.110
2.101
2.093
2.086
2583
2567
2552
2539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
3.527
3.505
3.485
3.467
3.450
1.333
1.330
1.328
1.325
1.740
1.734
1.729
1.725
4.015
3.965
3.922
3.883
3.850
2.214
2.205
1.066
1.064
2.197
21
3.819
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
1063
1061
L060
1O59
1.323
1.321
1.319
1.318
1.316
1.721
1.717
2.080
2,074
2069
2.064
2.060
2.189
2.518
2.508
2500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.091
3.078
2 183
1.714
1.711
1.708
2.177
2.172
2.167
3.792
3.768
3.745
3.725
1.315
1314
1.313
1.311
1.310
2.162
2.158
2.154
2.150
2.147
3.435
3421
3408
3.396
3.385
3.375
3.365
3.356
3.348
3.340
0.684
0684
0.683
0.683
0.683
0.856
10S8
1.057
1.706
1.703
1.701
1699
1697
2.056
2,052
2048
2.045
2.042
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.017
3,038
3.090
3.707
3.690
3.674
3.659
3.646
0.855
LOS6
0.854 LOS5
0854
0.855
1055
0.682
0.682
0.682
0.682
0.682
0853
0853
0853
0852
0852
1054
1054
1.053
1052
1.309
1.309
1.308
1.307
1.306
1.696
1694
1692
1691
1.690
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3,008
3.002
2.996
3.633
3.622
34
35
3.611
3.601
3.591
2438
36
37
38
39
40
0.681
0.681
0.681
0.681
0.681
2.719
2.715
2.712
2.708
2.701
0852
1052
1.306
1.305
1.304
1.304
1.300
1.688
1687
L686
1685
1.684
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2434
2.431
2.429
2.426
2.423
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.55I
0.851
1OSI
0851 1.051
0851
1.050
0851
1.050
3.496
3.460
3.435
2.403
50
60
70
80
90
0.679
0.679
0.678
0.678
0.677
0849
0.848
0.847
0.846
0.846
1.047
1045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.676
1671
1667
1664
1.662
2.009
2.000
1994
1.990
1987
2.109
2.099
2.093
2.088
2.084
2.390
2.381
2.374
2.368
2.678
2.660
2.648
2.639
2,632
2.937
2.915
2.809
3.261
3.232
3.211
3.195
3.183
2.887
2.878
3.416
3.402
1.291
100
1000
0.677
0.675
0674
0.845
0.842
0.842
1042
L037
1.036
1290
1.282
1.282
1.660
1646
1645
1.984
1.962
1960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.174
3.008
3.000
3.390
3.300
3.291
Degrees of 0.25
Freedom
0.20
0,15
0.10
0.025
0.02
01
0.005
0.0025
0.001 0.0005
-Distribution
Area in Right Tail
Transcribed Image Text:Aua in vigt ta 1-Distribution Area in Right Tail Degrees of Freedom 0.25 0,20 L15 0.10 1.05 0.025 O.AMIS 0.0025 0.H01 0.0005 1.376 1963 1.061 1.386 0.978 1.250 0941 1.190 0.920 1.156 3.78 1.886 1,638 1.533 1.476 6.314 2.920 2.33 2.132 2.015 12.706 4.303 3.182 15.894 3121 1.000 0816 0.765 0.741 0.727 63,657 9925 5.841 4.604 4.032 127321 318.309 636.619 31.99 12.924 8610 6.869 4.849 6.965 14.089 7453 5.598 4.773 22.327 10.215 2173 3482 4.541 2.776 2.571 2.999 2.757 3.747 3.365 5.208 4.785 0,718 0.711 0.706 0.703 0.700 0.697 0.695 0.694 0.692 0.691 1.134 1.119 1.108 1.100 1093 140 1415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1943 1895 1860 1833 1812 1.796 1782 1.771 1.761 1.753 2.447 2.612 3.143 2.998 0.906 0.896 0.889 0.883 O879 2.365 2.306 2.262 2.228 2.517 2.449 2398 2.896 2.821 2.764 3.707 3.499 3.355 3,250 4317 4.029 3.833 3.690 3.581 5959 5.408 S041 4.781 4.587 4.501 4.297 6. 10 2.359 3.169 4.144 4.025 3.930 O876 0873 O870 0868 0866 1074 2.201 2.179 2.160 2.145 2.131 2.328 2.718 2.681 2.650 2.624 2.602 3.497 4.437 4.318 11 12 13 14 15 1.088 3.106 3.055 3.012 2.977 2.947 LO83 2303 2282 2.264 2.249 3.428 3372 3326 4.221 4.140 4.073 1076 3.787 3.733 3.286 0.865 0863 0862 0.861 0.860 1071 1.069 1067 1.337 1.746 2.235 2.224 16 17 18 19 20 0.690 0.69 0.688 0.688 0.687 2.120 2.110 2.101 2.093 2.086 2583 2567 2552 2539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 3.527 3.505 3.485 3.467 3.450 1.333 1.330 1.328 1.325 1.740 1.734 1.729 1.725 4.015 3.965 3.922 3.883 3.850 2.214 2.205 1.066 1.064 2.197 21 3.819 0.686 0.686 0.685 0.685 0.684 0.859 0.858 0.858 0.857 0.856 1063 1061 L060 1O59 1.323 1.321 1.319 1.318 1.316 1.721 1.717 2.080 2,074 2069 2.064 2.060 2.189 2.518 2.508 2500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.135 3.119 3.104 3.091 3.078 2 183 1.714 1.711 1.708 2.177 2.172 2.167 3.792 3.768 3.745 3.725 1.315 1314 1.313 1.311 1.310 2.162 2.158 2.154 2.150 2.147 3.435 3421 3408 3.396 3.385 3.375 3.365 3.356 3.348 3.340 0.684 0684 0.683 0.683 0.683 0.856 10S8 1.057 1.706 1.703 1.701 1699 1697 2.056 2,052 2048 2.045 2.042 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.017 3,038 3.090 3.707 3.690 3.674 3.659 3.646 0.855 LOS6 0.854 LOS5 0854 0.855 1055 0.682 0.682 0.682 0.682 0.682 0853 0853 0853 0852 0852 1054 1054 1.053 1052 1.309 1.309 1.308 1.307 1.306 1.696 1694 1692 1691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3,008 3.002 2.996 3.633 3.622 34 35 3.611 3.601 3.591 2438 36 37 38 39 40 0.681 0.681 0.681 0.681 0.681 2.719 2.715 2.712 2.708 2.701 0852 1052 1.306 1.305 1.304 1.304 1.300 1.688 1687 L686 1685 1.684 2.028 2.026 2.024 2.023 2.021 2.131 2.129 2.127 2.125 2.123 2434 2.431 2.429 2.426 2.423 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.55I 0.851 1OSI 0851 1.051 0851 1.050 0851 1.050 3.496 3.460 3.435 2.403 50 60 70 80 90 0.679 0.679 0.678 0.678 0.677 0849 0.848 0.847 0.846 0.846 1.047 1045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.676 1671 1667 1664 1.662 2.009 2.000 1994 1.990 1987 2.109 2.099 2.093 2.088 2.084 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2,632 2.937 2.915 2.809 3.261 3.232 3.211 3.195 3.183 2.887 2.878 3.416 3.402 1.291 100 1000 0.677 0.675 0674 0.845 0.842 0.842 1042 L037 1.036 1290 1.282 1.282 1.660 1646 1645 1.984 1.962 1960 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.008 3.000 3.390 3.300 3.291 Degrees of 0.25 Freedom 0.20 0,15 0.10 0.025 0.02 01 0.005 0.0025 0.001 0.0005 -Distribution Area in Right Tail
The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.
68.92
79.66
69.56
84.65
80.91
87.03 101.01
98.34 O
E Click the icon to view the table of critical t-values.
(a) Determine a point estimate for the population mean travel tax.
A point estimate for the population mean travel tax is $
(Round to two decimal places as needed.)
(b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
O A. One can be
% confident that the all cities have a travel tax between $
and $
O B. One can be
% confident that the mean travel tax for all cities is between $
and $
O C. There is a
% probability that the mean travel tax for all cities is between S
and S
O D. The travel tax is between S
and S
for % of all cities
(c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data?
O A. The researcher could increase the level of confidence.
O B. The researcher could increase the sample mean.
O C. The researcher could decrease the level of confidence
O D. The researcher could decrease the sample standard deviation.
Transcribed Image Text:The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 68.92 79.66 69.56 84.65 80.91 87.03 101.01 98.34 O E Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. One can be % confident that the all cities have a travel tax between $ and $ O B. One can be % confident that the mean travel tax for all cities is between $ and $ O C. There is a % probability that the mean travel tax for all cities is between S and S O D. The travel tax is between S and S for % of all cities (c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data? O A. The researcher could increase the level of confidence. O B. The researcher could increase the sample mean. O C. The researcher could decrease the level of confidence O D. The researcher could decrease the sample standard deviation.
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