MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The McDonald Bridge between Halifax and Dartmouth is in need of structural repairs.
Approximately 25, 000 vehicles cross this bridge every day. Transportation officials have
decided to conduct a hypothesis test and will raise tolls to fund the repairs if there is evidence to
suggest that the true mean number of cars per day using this bridge has increased.
a. Write the null and alternative hypotheses about µ , the mean number of cars per day that cross
the McDonald Bridge.
b. For the hypotheses in part a, describe the Type I and Type II errors.
c. If a Type I error is committed, who is more angry, the transportation officials or drivers and
why?
d. If a Type II error is committed, who is more angry, the transportation officials or drivers, and
why?
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Transcribed Image Text:The McDonald Bridge between Halifax and Dartmouth is in need of structural repairs. Approximately 25, 000 vehicles cross this bridge every day. Transportation officials have decided to conduct a hypothesis test and will raise tolls to fund the repairs if there is evidence to suggest that the true mean number of cars per day using this bridge has increased. a. Write the null and alternative hypotheses about µ , the mean number of cars per day that cross the McDonald Bridge. b. For the hypotheses in part a, describe the Type I and Type II errors. c. If a Type I error is committed, who is more angry, the transportation officials or drivers and why? d. If a Type II error is committed, who is more angry, the transportation officials or drivers, and why?
Table II
Normal Curve Areas
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0
.0000
.0040
.0080
.0120
.0160
.0199
.0239
.0279
.0319
.0359
.0478
.0871
.0596
.0987
.0438
.0517
.0910
.1293
.0675
.1064
.0714
.1103
.1480
.1
.0398
.0557
.0636
.0753
.2
.0793
.0832
.0948
.1026
.1141
.3
.1179
.1217
.1255
.1331
.1368
.1406
.1443
.1517
.1844
.2190
.4
.1554
.1591
.1628
.1664
.1700
.1736
.1772
.1808
.1879
.5
.1915
.1950
.1985
.2019
.2054
.2088
.2123
.2157
.2224
.6
.2257
.2291
.2324
.2357
.2389
.2422
.2454
.2486
.2517
.2549
.2794
.3078
.2580
.2673
.2967
.7
.2611
.2642
.2704
.2734
.2764
.2823
.2852
.3051
.3315
.8
.2881
.2910
.2939
.2995
3023
.3106
.3133
.3340
.3577
.3264
3289
.3365
.3599
.9
.3159
.3186
.3212
.3238
.3389
1.0
.3413
.3438
.3461
.3485
.3508
.3531
.3554
.3621
1.1
.3643
.3665
.3686
.3708
.3729
.3749
.3770
.3790
.3810
.3830
.3849
.4032
.4192
1.2
.3869
.3888
.3907
3925
.3944
.3962
.3980
.3997
.4015
4162
.4306
1.3
.4049
.4066
.4082
.4099
.4115
.4131
.4147
.4177
.4222
.4357
1.4
.4207
.4236
.4251
.4265
.4279
.4292
.4319
1.5
4332
.4345
.4370
.4382
.4394
.4406
4418
4429
.4441
1.6
.4452
.4463
.4474
.4484
.4495
.4505
.4515
4525
4535
.4545
1.7
.4554
.4564
.4573
.4582
.4591
.4599
.4608
.4616
.4625
.4633
.4678
.4744
1.8
.4641
.4671
.4738
.4649
.4656
.4664
.4686
.4693
.4699
.4706
1.9
.4713
.4719
.4726
.4732
.4750
.4756
4761
.4767
2.0
.4772
.4778
.4783
.4788
.4793
4798
.4803
.4808
.4812
.4817
2.1
.4821
.4826
.4830
.4834
.4838
.4842
.4846
.4850
.4854
.4857
.4864
.4896
2.2
.4861
.4868
4871
.4875
.4878
.4881
.4884
.4887
.4890
.4904
.4927
2.3
.4893
.4898
.4901
.4906
.4909
.4911
.4913
.4916
.4925
.4943
.4932
.4949
2.4
.4918
.4920
.4922
4929
.4931
.4934
.4936
2.5
.4938
.4940
.4941
.4945
.4946
.4948
.4951
.4952
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Transcribed Image Text:Table II Normal Curve Areas .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 .0478 .0871 .0596 .0987 .0438 .0517 .0910 .1293 .0675 .1064 .0714 .1103 .1480 .1 .0398 .0557 .0636 .0753 .2 .0793 .0832 .0948 .1026 .1141 .3 .1179 .1217 .1255 .1331 .1368 .1406 .1443 .1517 .1844 .2190 .4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1879 .5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2224 .6 .2257 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2517 .2549 .2794 .3078 .2580 .2673 .2967 .7 .2611 .2642 .2704 .2734 .2764 .2823 .2852 .3051 .3315 .8 .2881 .2910 .2939 .2995 3023 .3106 .3133 .3340 .3577 .3264 3289 .3365 .3599 .9 .3159 .3186 .3212 .3238 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3621 1.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830 .3849 .4032 .4192 1.2 .3869 .3888 .3907 3925 .3944 .3962 .3980 .3997 .4015 4162 .4306 1.3 .4049 .4066 .4082 .4099 .4115 .4131 .4147 .4177 .4222 .4357 1.4 .4207 .4236 .4251 .4265 .4279 .4292 .4319 1.5 4332 .4345 .4370 .4382 .4394 .4406 4418 4429 .4441 1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 4525 4535 .4545 1.7 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 .4678 .4744 1.8 .4641 .4671 .4738 .4649 .4656 .4664 .4686 .4693 .4699 .4706 1.9 .4713 .4719 .4726 .4732 .4750 .4756 4761 .4767 2.0 .4772 .4778 .4783 .4788 .4793 4798 .4803 .4808 .4812 .4817 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .4857 .4864 .4896 2.2 .4861 .4868 4871 .4875 .4878 .4881 .4884 .4887 .4890 .4904 .4927 2.3 .4893 .4898 .4901 .4906 .4909 .4911 .4913 .4916 .4925 .4943 .4932 .4949 2.4 .4918 .4920 .4922 4929 .4931 .4934 .4936 2.5 .4938 .4940 .4941 .4945 .4946 .4948 .4951 .4952
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