A random sample of 100 automobile owners in a region shows that an automobile is driven on average 24,000 kilometers per year with a standard deviation of 4300 kilometers. Assume the distribution of measurements to be approximately normal. Construct a 99% prediction interval for the kilometers traveled annually by an automobile owner in the region. The prediction interval is _________ < Xo < __________
A random sample of 100 automobile owners in a region shows that an automobile is driven on average 24,000 kilometers per year with a standard deviation of 4300 kilometers. Assume the distribution of measurements to be approximately normal. Construct a 99% prediction interval for the kilometers traveled annually by an automobile owner in the region. The prediction interval is _________ < Xo < __________
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A random sample of 100 automobile owners in a region shows that an automobile is driven on average 24,000 kilometers per year with a standard deviation of 4300 kilometers. Assume the distribution of measurements to be approximately normal. Construct a 99% prediction interval for the kilometers traveled annually by an automobile owner in the region.
The prediction interval is _________ < Xo < __________
(Round to the nearest integer as needed.)
Standard
Transcribed Image Text:Critical Values of the t-Distribution
Critical Values of the t-Distribution
a
a
0.40
0.30
0.20
0.15
0.10
0.05
0.025
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
1
15.894
21.205
31.821
42.433
63.656
127.321
636.578
2
0.289
0.617
1.061
1.386
1.886
2.920
4.303
2
4.849
5.643
6.965
8.073
9.925
14.089
31.600
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
3
3.482
3.896
4.541
5.047
5.841
7.453
12.924
4
0.271
0.569
0.941
1.190
1.533
2.132
2.776
4
2.999
3.298
3.747
4.088
4.604
5.598
8.610
5
0.267
0.559
0.920
1.156
1.476
2.015
2.571
5
2.757
3.003
3.365
3.634
4.032
4.773
6.869
в
0.265
0.553
0.906
1.134
1.440
1.943
2.447
6
2.612
2.829
3.143
3.372
3.707
4.317
5.959
7
0.263
0.549
0.896
1.119
1.415
1.895
2.365
7
2.517
2.715
2.998
3.203
3.499
4.029
5.408
8
0.262
0.546
0.889
1.108
1.397
1.860
2.306
8
2.449
2.634
2.896
3.085
3.355
3.833
5.041
9
0.261
0.543
0.883
1.100
1.383
1.833
2.262
9
2.398
2.574
2.821
2.998
3.250
3.690
4.781
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
10
2.359
2.527
2.764
2.932
3.169
3.581
4.587
11
0.260
0.540
0.876
1.088
1.363
1.796
2.201
11
2.328
2.491
2.718
2.879
3.106
3.497
4.437
12
0.259
0.539
0.873
1.083
1.356
1.782
2.179
12
2.303
2.461
2.681
2.836
3.055
3.428
4.318
13
0.259
0.538
0.870
1.079
1.350
1.771
2.160
13
2.282
2.436
2.650
2.801
3.012
3.372
4.221
14
0.258
0.537
0.868
1.076
1.345
1.761
2.145
14
2.264
2.415
2.624
2.771
2.977
3.326
4.140
15
0.258
0.536
0.866
1.074
1.341
1.753
2.131
15
2.249
2.397
2.602
2.746
2.947
3.286
4.073
16
0.258
0.535
0.865
1.071
1.337
1.746
2.120
16
2.235
2.382
2.583
2.724
2.921
3.252
4.015
17
0.257
0.534
0.863
1.069
1.333
1.740
2.110
17
2.224
2.368
2.567
2.706
2.898
3.222
3.965
18
0.257
0.534
0.862
1.067
1.330
1.734
2.101
18
2.214
2.356
2.552
2.689
2.878
3.197
3.922
19
0.257
0.533
0.861
1.066
1.328
1.729
2.093
2.205
2.346
2.539
2.674
2.861
3.174
3.883
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
20
2.197
2.336
2.528
2.661
2.845
3.153
3.850
21
0.257
0.532
0.859
1.063
1.323
1.721
2.080
21
2.189
2.328
2.518
2.649
2.831
3.135
3.819
22
0.256
0.532
0.858
1.061
1.321
1.717
2.074
22
2.183
2.320
2.508
2.639
2.819
3.119
3.792
23
0.256
0.532
0.858
1.060
1.319
1.714
2.069
23
2.177
2.313
2.500
2.629
2.807
3.104
3.768
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
24
2.172
2.307
2.492
2.620
2.797
3.091
3.745
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
25
2.167
2.301
2.485
2.612
2.787
3.078
3.725
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
27
0.256
0.531
0.855
1.057
1.314
1.703
2.052
28
0.256
0.530
0.855
1.056
1.313
1.701
2.048
-
29
0.256
0.530
0.854
1.055
1.311
1.699
2.045
30
0.256
0.530
0.854
1.055
1.310
1.697
2.042
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
60
0.254
0.527
0.848
1.045
1.296
1.671
2.000
120
0.254
0.526
0.845
1.041
1.289
1.658
1.980
8"
0.253
0.524
0.842
1.036
1.282
1.645
1.960
e
0.40
0.30
0.20
0.15
0.10
- <>
120
888 988
26
2.162
2.296
2.479
2.605
2.779
3.067
3.707
27
2.158
2.291
2.473
2.598
2.771
3.057
3.689
28
2.154
2.286
2.467
2.592
2.763
3.047
3.674
2.150
2.282
2.462
2.586
2.756
3.038
3.660
30
2.147
2.278
2.457
2.581
2.750
3.030
3.646
40
2.123
2.250
2.423
2.542
2.704
2.971
3.551
60
2.099
2.223
2.390
2.504
2.660
2.915
3.460
2.076
2.196
2.358
2.468
2.617
2.860
3.373
2.054
2.170
2.326
2.432
2.576
2.807
3.290
0.05
0.025
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
a
A
a
C
Transcribed Image Text:Areas under the Normal Curve
Areas under the Normal Curve
z
.00
.01
-3.4
0.0003 0.0003 0.0003 0.0003
-3.3 0.0005 0.0005 0.0005 0.0004
-3.2 0.0007 0.0007 0.0006 0.0006
-3.1 0.0010 0.0009 0.0009 0.0009
-3.0 0.0013 0.0013 0.0013 0.0012
-2.9 0.0019 0.0018 0.0018 0.0017
-2.8 0.0026 0.0025 0.0024 0.0023
-2.7 0.0035 0.0034 0.0033 0.0032
-2.6 0.0047 0.0045 0.0044 0.0043
-2.5 0.0062 0.0060 0.0059 0.0057
-2.4 0.0082 0.0080 0.0078 0.0075
-2.3 0.0107 0.0104 0.0102 0.0099
.02
.03
.05
.04
.06
.07
0.0003 0.0003
0.0003 0.0003
0.0004 0.0004 0.0004 0.0004
0.0006 0.0006 0.0006 0.0005
0.0008 0.0008 0.0008 0.0008
0.0012 0.0011 0.0011 0.0011
0.0016 0.0016 0.0015 0.0015
0.0023 0.0022 0.0021 0.0021
0.0031 0.0030 0.0029 0.0028
.08
.09
0.0003 0.0002 -3.4
0.0004 0.0003 -3.3
0.0005 0.0005 -3.2
z
Z
.00
.01
.02
.03
.04
.05
.06
.07
0.0007 0.0007 -3.1
0.0010 0.0010 -3.0
0.3
0.4
-0.3 0.3821 0.3783 0.3745
2
.00
.01
0.0041 0.0040 0.0039 0.0038
0.0055 0.0054 0.0052 0.0051
0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4
0.0096 0.0094 0.0091 0.0089 0.0087
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0
-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8
-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7
-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6
-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5
-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4
-1.3
0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3
-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2
-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1
-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9
-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8
-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7
-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514
-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192
0.3707 0.3669 0.3632 0.3594 0.3557
0.3483 -0.3
-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.2
-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0
.02
.03
.04
.05
.06
.07
.08
.09
Z
0.0014 0.0014 -2.9
0.0020 0.0019 -2.8
0.0027 0.0026 2.7
0.0037 0.0036 -2.6
0.0049 0.0048 -2.5
0.5
0.0084 -2.3
0.0110 -2.2
0.0143 -2.1
2.7
0.2483 0.2451 -0.6
0.2810
0.2776 -0.5
0.3156
0.3520
0.3121 -0.4
¡A
2
.00
0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1
0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2
0.6179 0.6217 0.6255
0.6293 0.6331
0.6368 0.6406 0.6443 0.6480 0.6517 0.3
0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4
0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7
0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9
1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0
1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4
1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5
1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.6
1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7
1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8
1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9
2.0 0.9772 0.9778 0.9783 0.9788 0,9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0
2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1
2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878
0.9881 0.9884 0.9887 0.9890 2.2
2.3
0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3
2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6
0.9965 0.9966 0.9967
0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7
2.8
0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8
2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9
3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.0
3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992
0.9992 0.9992 0.9993 0.9993 3.1
3.2 0.9993
0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2
3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.3
3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4
.01
.02
.03
.04
.05
.06
.07
.08
.09
.08
.09
0.5319 0.5359 0.0
2
Z
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