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. 67.82 78.08 69.71 83.48 79.56 87.13 100.69 99.76 D 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 $ 83.28 . (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. There is a % probability that the mean travel tax for all cities is between $ and $ O B. One can be % confident that the mean travel tax for all cities is between $ and $ O C. The travel tax is between $ and $ for % of all cities. O D. One can be % confident that the all cities have a travel tax between $ and $.

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 #5 Part B

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.
67.82
78.08
69.71
83.48
79.56
87.13
100.69
99.76
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 $ 83.28 .
(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. There is a
% probability that the mean travel tax for all cities is between $
and $
B. One can be
% confident that the mean travel tax for all cities is between $
and $
C. The travel tax is between $
and $
for
% of all cities.
D. One can be
% confident that the all cities have a travel tax between $
and $
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. 67.82 78.08 69.71 83.48 79.56 87.13 100.69 99.76 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 $ 83.28 . (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. There is a % probability that the mean travel tax for all cities is between $ and $ B. One can be % confident that the mean travel tax for all cities is between $ and $ C. The travel tax is between $ and $ for % of all cities. D. One can be % confident that the all cities have a travel tax between $ and $
- Area in
Tight tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0,20 0,15
0.10
0.05
0.025
0,02
0,01 0.005 0.0025
0.001 0.0005
1000
1.376
1.963
3.078
6.314
12.706
15.804
31.821
63.657
1 73כ1
318 300 636 610
O816
2.920 4.303 4,849
3.182
2 776
22.327 31 00
10.215 12 924
Z173
5.893
9.925 14 080
6.065
4.541
1.061 1.386
0 078 1250
0 041 1.190 1533
0.920 1.156 1476
1.886
1638
2.353
2132
7453
3.482
2 00
5,841
460
4032
3.747
5.509
8.610
6.869
0.727
2015
2.571
2.757
3.365
4.773
3.707
3.499
3.355
3.250
3.169
5.206
4.785
4.501
4.297
4.144
0.718
0.906 1.134
1.440
1.943
2.447
2.612
5.959
3.143
2.998
2.896
4.317
4.029
3.833
3.690
3.581
2.517
2.449
0.711
0.806
1.119
1.415
1.895
2.365
2.306
5.408
5.041
0.706
0.703
0.889
1108
1.397
1.860
0.883
1100
1.383
1.833
2.262
2.821
2.764
4.781
0.879
1.093
1.812
4.587
0.697
1.088
1.796
2.718
3.106
3.49
3.055 3428 3.930 4.318
0.876
4.025
4.437
0.695
1.782
1076
1074
5624
2 602
2077
2947
0868
0,866
1.341
1.75
2131
3.286
3.733
4.073
3.686
3.646
4.015
3.969
3.922
0.865
1.3"
2.583
5110
5101
3.25
3.22
2567
2552
2530
2 528
2.808
2 878
2 861
0.863
0.862
1060
1067
1.333
1.740
2.224
2 214
1330
1328
1.734
3.610
3 570
3 552
3174
3.883
1.324
3.153
3850
3.135
3.527
3.819
3.792
3.119
3.104
3.091
3.078
3.50
3.485
3.467
3.450
3.768
3.745
3.725
0.856 1.058
1.315
2.162
2.479
2.779
3.067
3.435
3.707
0.855 1057
1.314
2.473
2.771
3.057
0854 105s
3 038
0.854 1.05s
1.310
2750
3.030
3 38
3646
337
3.36
0853
1.300
3.022
3.633
2738
2733
5728
7724
0853 1.054
1.309
2449
3.019
3,627
0853 1.053
1052
2445
5441
1.308
30
2 006
3.611
3,601
3 501
0852
1307
3349
0.852
1052
1.306
3340
1.306
2719
2.000
3.333
3.582
3.574
3.566
3.558
3.551
2715
2.985
3.326
3.319
3.313
3.307
2.712
1.304
1.303
2.708
2.976
2.971
2.704
0.849 1.047
0.848 1.04S
1.299
1.676
2.009
2.109
2.678
2.937
3.261
3.496
0.679
1.296
1.671
2.000
2.099
2.390
2.660
2.915
0,846 104
1042
164
2374
3105
3416
0677
1087
2632
2 878
0.846
1.291
1.662
2.084
2.368
3.183
3402
0677
0.845
1042
1 084
1.290
1.282
1.282
1.660
1.646
1.645
2.081
2.056
2.054
2364
2626
2.871
3.174
3.390
2.330 2.581
2.326 2,576
0,675
0,842 1.037
0,842 1.036
1.962
1.960
2.813
2.807
3.098
3.090
3.300
3,291
Degrees of 0.25 0,20 0,15
Freedom
0.01 0.005 0.0025
0.001 0.0005
0.10
0.05
0.025
0.02
-Distribution
Area in Right Tail
iN
e7899=修科巧 拆口搭S a23斗怎 85答为元 A配基科站 新幻器別字 完定之完家
Transcribed Image Text:- Area in Tight tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0,20 0,15 0.10 0.05 0.025 0,02 0,01 0.005 0.0025 0.001 0.0005 1000 1.376 1.963 3.078 6.314 12.706 15.804 31.821 63.657 1 73כ1 318 300 636 610 O816 2.920 4.303 4,849 3.182 2 776 22.327 31 00 10.215 12 924 Z173 5.893 9.925 14 080 6.065 4.541 1.061 1.386 0 078 1250 0 041 1.190 1533 0.920 1.156 1476 1.886 1638 2.353 2132 7453 3.482 2 00 5,841 460 4032 3.747 5.509 8.610 6.869 0.727 2015 2.571 2.757 3.365 4.773 3.707 3.499 3.355 3.250 3.169 5.206 4.785 4.501 4.297 4.144 0.718 0.906 1.134 1.440 1.943 2.447 2.612 5.959 3.143 2.998 2.896 4.317 4.029 3.833 3.690 3.581 2.517 2.449 0.711 0.806 1.119 1.415 1.895 2.365 2.306 5.408 5.041 0.706 0.703 0.889 1108 1.397 1.860 0.883 1100 1.383 1.833 2.262 2.821 2.764 4.781 0.879 1.093 1.812 4.587 0.697 1.088 1.796 2.718 3.106 3.49 3.055 3428 3.930 4.318 0.876 4.025 4.437 0.695 1.782 1076 1074 5624 2 602 2077 2947 0868 0,866 1.341 1.75 2131 3.286 3.733 4.073 3.686 3.646 4.015 3.969 3.922 0.865 1.3" 2.583 5110 5101 3.25 3.22 2567 2552 2530 2 528 2.808 2 878 2 861 0.863 0.862 1060 1067 1.333 1.740 2.224 2 214 1330 1328 1.734 3.610 3 570 3 552 3174 3.883 1.324 3.153 3850 3.135 3.527 3.819 3.792 3.119 3.104 3.091 3.078 3.50 3.485 3.467 3.450 3.768 3.745 3.725 0.856 1.058 1.315 2.162 2.479 2.779 3.067 3.435 3.707 0.855 1057 1.314 2.473 2.771 3.057 0854 105s 3 038 0.854 1.05s 1.310 2750 3.030 3 38 3646 337 3.36 0853 1.300 3.022 3.633 2738 2733 5728 7724 0853 1.054 1.309 2449 3.019 3,627 0853 1.053 1052 2445 5441 1.308 30 2 006 3.611 3,601 3 501 0852 1307 3349 0.852 1052 1.306 3340 1.306 2719 2.000 3.333 3.582 3.574 3.566 3.558 3.551 2715 2.985 3.326 3.319 3.313 3.307 2.712 1.304 1.303 2.708 2.976 2.971 2.704 0.849 1.047 0.848 1.04S 1.299 1.676 2.009 2.109 2.678 2.937 3.261 3.496 0.679 1.296 1.671 2.000 2.099 2.390 2.660 2.915 0,846 104 1042 164 2374 3105 3416 0677 1087 2632 2 878 0.846 1.291 1.662 2.084 2.368 3.183 3402 0677 0.845 1042 1 084 1.290 1.282 1.282 1.660 1.646 1.645 2.081 2.056 2.054 2364 2626 2.871 3.174 3.390 2.330 2.581 2.326 2,576 0,675 0,842 1.037 0,842 1.036 1.962 1.960 2.813 2.807 3.098 3.090 3.300 3,291 Degrees of 0.25 0,20 0,15 Freedom 0.01 0.005 0.0025 0.001 0.0005 0.10 0.05 0.025 0.02 -Distribution Area in Right Tail iN e7899=修科巧 拆口搭S a23斗怎 85答为元 A配基科站 新幻器別字 完定之完家
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