What critical value of t* should be used for a 99.5% confidence interval for the population mean based upon a random sample of 18 observations? Find the t-table here. t* = 2.878 t* = 2.898 t* = 3.197 t* = 3.222

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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What critical value of t* should be used for a 99.5% confidence interval for the population mean based upon a random sample of 18 observations?

Find the t-table here.

t* = 2.878
t* = 2.898
t* = 3.197
t* = 3.222
Table entry for p and C is the point t* with probability p lying to its right and probability C lying between -t*
and t*.
t Distribution Critical Values
Tail Probability p
df
.25 .20 .15
.10
.05 .025 .02 .01 .005 .0025 .001 .0005
1
1.000 1.376 1.963 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6
1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.60
2
.816
.765 .978
3
1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.92
4
.741
.941
1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610
5
.727
.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869
6
.718
7
.711
.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959
.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408
.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041
8
.706
9
.703
10
.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781
.700 .879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587
.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437
.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 4.930 4.318
11
.697
12
.695
13
.694
.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221
14
.692
15
.691
.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140
.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073
1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015
16
.690
.865
17
.689
.863
1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965
18
.688 .862
1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922
19
.688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883
20
.687
.860
1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850
21
.686
.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819
22
.686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792
23
.685
.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768
.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745
24
.685
Transcribed Image Text:Table entry for p and C is the point t* with probability p lying to its right and probability C lying between -t* and t*. t Distribution Critical Values Tail Probability p df .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 1 1.000 1.376 1.963 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.60 2 .816 .765 .978 3 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.92 4 .741 .941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610 5 .727 .920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 6 .718 7 .711 .906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 .896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 .889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 8 .706 9 .703 10 .883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 .700 .879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 .876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 .873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 4.930 4.318 11 .697 12 .695 13 .694 .870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 .692 15 .691 .868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 16 .690 .865 17 .689 .863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 .688 .862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 19 .688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 .687 .860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 21 .686 .859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 .686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 23 .685 .858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 .857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 24 .685
13
.694 .870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221
14
.692 .868
1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140
15
.691
.866
1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073
16
.690
.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015
17
.689
.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965
18
.688
19
.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922
.688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883
.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850
20
.687
21
.686
.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819
22
.686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792
23
.685 .858
.685 .857
1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768
1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745
24
25
26
.684 .856
.684 .856
.684 .855
1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725
1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707
1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690
1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674
27
28
.683
.855
29
.683 .854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659
30
.683
.854
1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646
.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551
40
.681
50
.679
.849
1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496
60
.679
.848
80
.678
1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460
.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416
1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390
100
.677 .845
1000
.842
.675
.674 .841
1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300
1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291
70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9%
Confidence Level C
50%
60%
Copyright © Edgenuity Inc.
Transcribed Image Text:13 .694 .870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 .692 .868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 .691 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 .690 .865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 .689 .863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 .688 19 .862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 .688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 .860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 20 .687 21 .686 .859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 .686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 23 .685 .858 .685 .857 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 24 25 26 .684 .856 .684 .856 .684 .855 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 27 28 .683 .855 29 .683 .854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 30 .683 .854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 .851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 40 .681 50 .679 .849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 60 .679 .848 80 .678 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 .846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 100 .677 .845 1000 .842 .675 .674 .841 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% Confidence Level C 50% 60% Copyright © Edgenuity Inc.
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