Confidence Level Confidence Level .80 .90 .95 .98 .99 .80 .90 .95 .98 .99 Significance Level for Two-Tailed Test Significance Level for Two-Tailed Test .20 .10 .05 .02 .01 .20 .10 .05 .02 .01 Significance Level for One-Tailed Test Significance Level for One-Tailed Test d.f. .10 .05 .025 .01 .005 d.f. .10 .05 .025 .01 .005 1 3.078 6.314 12.706 31.821 63.657 36 1.306 1.688 2.028 2.434 2.719 1.886 2.920 4.303 6.965 9.925 37 1.305 1.687 2.026 2.431 2.715 1.638 2.353 3.182 4.541 5.841 38 1.304 1.686 2.024 2.429 2.712 1.533 2.132 2.776 3.747 4.604 39 1.304 1.685 2.023 2.426 2.708 1,476 2.015 2.571 3.365 4.032 40 1.303 1.684 2.021 2.423 2.704 1.440 1.943 2.447 3.143 3.707 41 1.303 1.683 2.020 2.421 2.701 1.415 1.895 2.365 2.998 3.499 42 1.302 1.682 2.018 2.418 2.698 1.397 1.860 2.306 2.896 3.355 43 1.302 1.681 2.017 2.416 2.695 9 1.383 1.833 2.262 2.821 3.250 44 1.301 1.680 2.015 2.414 2.692 10 1.372 1.812 2.228 2.764 3.169 45 1.301 1.679 2.014 2.412 2.690 11 1.363 1.796 2.201 2.718 3.106 46 1.300 1.679 2.013 2.410 2.687 12 1.356 1.782 2.179 2.681 3.055 47 1.300 1.678 2.012 2.408 2.685 13 1.350 1.771 2.160 2.650 3.012 48 1.299 1.677 2.011 2.407 2.682 14 1.345 1.761 2.145 2.624 2.977 49 1.299 1.677 2.010 2.405 2.680 15 1.341 1.753 2.131 2.602 2.947 50 1.299 1.676 2.009 2.403 2.678 16 1.337 1.746 2.120 2.583 2.921 55 1.297 1.673 2.004 2.396 2.668 17 1.333 1.740 2.110 2.567 2.898 60 1.296 1.671 2.000 2.390 2.660 18 1.330 1.734 2.101 2.552 2.878 65 1.295 1.669 1.997 2.385 2.654 19 1.328 1.729 2.093 2.539 2.861 70 1.294 1.667 1.994 2.381 2.648 20 1.325 1.725 2.086 2.528 2.845 75 1.293 1.665 1.992 2.377 2.643 21 1.323 1.721 2.080 2.518 2.831 80 1.292 1.664 1.990 2.374 2.639 22 1.321 1.717 2.074 2.508 2.819 85 1.292 1.663 1.988 2.371 2.635 23 1.319 1.714 2.069 2.500 2.807 90 1.291 1.662 1.987 2.368 2.632 24 1.318 1.711 2.064 2.492 2.797 95 1.291 1.661 1.985 2.366 2.629 25 1.316 1.708 2.060 2.485 2.787 100 1.290 1.660 1.984 2.364 2.626 26 1.315 1.706 2.056 2.479 2.779 110 1.289 1.659 1.982 2.361 2.621 27 1.314 1.703 2.052 2.473 2.771 120 1.289 1.658 1.980 2.358 2.617 28 1.313 1.701 2.048 2.467 2.763 130 1.288 1.657 1.978 2.355 2.614 29 1.311 1.699 2.045 2.462 2.756 140 1.288 1.656 1.977 2.353 2.611 30 1.310 1.697 2.042 2.457 2.750 150 1.287 1.655 1.976 2.351 2.609 31 1.309 1.696 2.040 2.453 2.744 00 1.282 1.645 1.960 2.326 2.576 32 1.309 1.694 2.037 2.449 2.738 33 1.308 1.692 2.035 2.445 2.733 34 1.307 1.691 2.032 2.441 2.728 35 1.306 1.690 2.030 2.438 2.724

Confidence Level Confidence Level .80 .90 .95 .98 .99 .80 .90 .95 .98 .99 Significance Level for Two-Tailed Test Significance Level for Two-Tailed Test .20 .10 .05 .02 .01 .20 .10 .05 .02 .01 Significance Level for One-Tailed Test Significance Level for One-Tailed Test d.f. .10 .05 .025 .01 .005 d.f. .10 .05 .025 .01 .005 1 3.078 6.314 12.706 31.821 63.657 36 1.306 1.688 2.028 2.434 2.719 1.886 2.920 4.303 6.965 9.925 37 1.305 1.687 2.026 2.431 2.715 1.638 2.353 3.182 4.541 5.841 38 1.304 1.686 2.024 2.429 2.712 1.533 2.132 2.776 3.747 4.604 39 1.304 1.685 2.023 2.426 2.708 1,476 2.015 2.571 3.365 4.032 40 1.303 1.684 2.021 2.423 2.704 1.440 1.943 2.447 3.143 3.707 41 1.303 1.683 2.020 2.421 2.701 1.415 1.895 2.365 2.998 3.499 42 1.302 1.682 2.018 2.418 2.698 1.397 1.860 2.306 2.896 3.355 43 1.302 1.681 2.017 2.416 2.695 9 1.383 1.833 2.262 2.821 3.250 44 1.301 1.680 2.015 2.414 2.692 10 1.372 1.812 2.228 2.764 3.169 45 1.301 1.679 2.014 2.412 2.690 11 1.363 1.796 2.201 2.718 3.106 46 1.300 1.679 2.013 2.410 2.687 12 1.356 1.782 2.179 2.681 3.055 47 1.300 1.678 2.012 2.408 2.685 13 1.350 1.771 2.160 2.650 3.012 48 1.299 1.677 2.011 2.407 2.682 14 1.345 1.761 2.145 2.624 2.977 49 1.299 1.677 2.010 2.405 2.680 15 1.341 1.753 2.131 2.602 2.947 50 1.299 1.676 2.009 2.403 2.678 16 1.337 1.746 2.120 2.583 2.921 55 1.297 1.673 2.004 2.396 2.668 17 1.333 1.740 2.110 2.567 2.898 60 1.296 1.671 2.000 2.390 2.660 18 1.330 1.734 2.101 2.552 2.878 65 1.295 1.669 1.997 2.385 2.654 19 1.328 1.729 2.093 2.539 2.861 70 1.294 1.667 1.994 2.381 2.648 20 1.325 1.725 2.086 2.528 2.845 75 1.293 1.665 1.992 2.377 2.643 21 1.323 1.721 2.080 2.518 2.831 80 1.292 1.664 1.990 2.374 2.639 22 1.321 1.717 2.074 2.508 2.819 85 1.292 1.663 1.988 2.371 2.635 23 1.319 1.714 2.069 2.500 2.807 90 1.291 1.662 1.987 2.368 2.632 24 1.318 1.711 2.064 2.492 2.797 95 1.291 1.661 1.985 2.366 2.629 25 1.316 1.708 2.060 2.485 2.787 100 1.290 1.660 1.984 2.364 2.626 26 1.315 1.706 2.056 2.479 2.779 110 1.289 1.659 1.982 2.361 2.621 27 1.314 1.703 2.052 2.473 2.771 120 1.289 1.658 1.980 2.358 2.617 28 1.313 1.701 2.048 2.467 2.763 130 1.288 1.657 1.978 2.355 2.614 29 1.311 1.699 2.045 2.462 2.756 140 1.288 1.656 1.977 2.353 2.611 30 1.310 1.697 2.042 2.457 2.750 150 1.287 1.655 1.976 2.351 2.609 31 1.309 1.696 2.040 2.453 2.744 00 1.282 1.645 1.960 2.326 2.576 32 1.309 1.694 2.037 2.449 2.738 33 1.308 1.692 2.035 2.445 2.733 34 1.307 1.691 2.032 2.441 2.728 35 1.306 1.690 2.030 2.438 2.724

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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Related questions

Concept explainers

Question

A random sample of 21 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯x¯ = 910 and the sample standard deviation is s = 20. Use Appendix D to find the values of Student’s t.

(a) Construct an interval estimate of μ with 99% confidence. (Round your answers to 3 decimal places.)

The 99% confidence interval is from to

(b) Construct an interval estimate of μ with 99% confidence, assuming that s = 40. (Round your answers to 3 decimal places.)

The 99% confidence interval is from to

(c) Construct an interval estimate of μ with 99% confidence, assuming that s = 80. (Round your answers to 3 decimal places.)

The 99% confidence interval is from to

Confidence Level
Confidence Level
.80
.90
.95
.98
.99
.80
.90
.95
.98
.99
Significance Level for Two-Tailed Test
Significance Level for Two-Tailed Test
.20
.10
.05
.02
.01
.20
.10
.05
.02
.01
Significance Level for One-Tailed Test
Significance Level for One-Tailed Test
d.f.
.10
.05
.025
.01
.005
d.f.
.10
.05
.025
.01
.005
1 3.078 6.314
12.706
31.821
63.657
36 1.306 1.688 2.028 2.434
2.719
1.886 2.920
4.303
6.965
9.925
37 1.305 1.687 2.026
2.431
2.715
1.638 2.353
3.182
4.541
5.841
38 1.304
1.686 2.024 2.429
2.712
1.533
2.132
2.776
3.747
4.604
39 1.304 1.685 2.023 2.426
2.708
1,476
2.015
2.571
3.365
4.032
40 1.303 1.684 2.021 2.423
2.704
1.440
1.943
2.447
3.143
3.707
41
1.303 1.683 2.020
2.421
2.701
1.415
1.895
2.365
2.998
3.499
42 1.302 1.682 2.018
2.418
2.698
1.397
1.860
2.306
2.896
3.355
43 1.302 1.681
2.017
2.416
2.695
9 1.383 1.833
2.262
2.821
3.250
44
1.301
1.680
2.015
2.414
2.692
10
1.372
1.812
2.228
2.764
3.169
45
1.301
1.679
2.014
2.412
2.690
11
1.363
1.796
2.201
2.718
3.106
46 1.300 1.679
2.013
2.410
2.687
12
1.356
1.782
2.179
2.681
3.055
47 1.300 1.678
2.012
2.408 2.685
13
1.350
1.771
2.160
2.650
3.012
48 1.299 1.677
2.011
2.407 2.682
14
1.345
1.761
2.145
2.624
2.977
49 1.299 1.677
2.010 2.405 2.680
15
1.341
1.753
2.131
2.602
2.947
50 1.299 1.676 2.009 2.403 2.678
16
1.337
1.746
2.120
2.583
2.921
55 1.297 1.673 2.004 2.396 2.668
17
1.333
1.740
2.110
2.567
2.898
60 1.296 1.671 2.000 2.390 2.660
18
1.330
1.734
2.101
2.552
2.878
65 1.295 1.669 1.997 2.385 2.654
19 1.328
1.729
2.093
2.539
2.861
70 1.294 1.667 1.994 2.381 2.648
20 1.325
1.725
2.086
2.528
2.845
75 1.293 1.665 1.992 2.377 2.643
21
1.323
1.721
2.080
2.518
2.831
80 1.292 1.664
1.990
2.374 2.639
22
1.321
1.717
2.074
2.508
2.819
85 1.292 1.663 1.988
2.371
2.635
23
1.319
1.714
2.069
2.500
2.807
90 1.291 1.662 1.987 2.368 2.632
24
1.318
1.711
2.064
2.492
2.797
95 1.291
1.661 1.985 2.366 2.629
25
1.316
1.708
2.060
2.485
2.787
100 1.290 1.660 1.984 2.364 2.626
26
1.315
1.706
2.056
2.479
2.779
110
1.289 1.659 1.982 2.361
2.621
27
1.314
1.703
2.052
2.473
2.771
120 1.289 1.658 1.980 2.358
2.617
28
1.313
1.701
2.048
2.467
2.763
130
1.288 1.657 1.978 2.355 2.614
29
1.311
1.699
2.045
2.462
2.756
140
1.288 1.656
1.977 2.353
2.611
30
1.310
1.697
2.042
2.457
2.750
150
1.287 1.655
1.976 2.351
2.609
31
1.309
1.696
2.040
2.453
2.744
00
1.282 1.645 1.960 2.326 2.576
32
1.309
1.694
2.037
2.449
2.738
33
1.308
1.692
2.035
2.445
2.733
34
1.307
1.691
2.032
2.441
2.728
35 1.306
1.690
2.030
2.438
2.724

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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