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
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
Section: Chapter Questions
Problem 1P
Related questions
Question
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

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

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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