To test Ho: μ = 100 versus H₁: μ#100, a simple random sample size of n = 18 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x= 104.5 and s= 8.2, compute the test statistic. =(Round to three decimal places as needed.) t=

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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Problem 1P
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t-Distribution Area in Right Tail
Area in Right Tail
0.025
0.02
6
3.707
7
8
2.718 3.106
2.681
3.055
2.282 2.650
3.012
2.624
2.977
2.602
2.947
2.235 2.583
2.921
12.706 15.894
31.821
63.657
4.303 4.849 6.965 9.925
3.182
3.482 4.541 5.841
2.776 2.999 3.747 4.604
2.571 2.757 3.365 4.032
0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143
0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499
0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355
9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250
10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169
11 0.697 0.876 1.088 1.363 1.796 2.201 2.328
12 0.695 0.873 1.083 1.356 1.782 2.179 2.303
13 0.694 0.870 1.079 1.350 1.771 2.160
14 0.692 0.868 1.076 1.345 1.761 2.145 2.264
15 0.691 0.866 1.074 1.341 1.753
2.131 2.249
16 0.690 0.865 1.071 1.337 1.746 2.120
17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898
18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878
19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861
20 0.687 0.860 1.064 1.325 1.725 2.086 2.197
1.063 1.323 1.721 2.080 2.189
1.061 1.321 1.717 2.074 2.183
1.060 1.319 1.714
0.685 0.857 1.059 1.318 1.711
0.684 0.856 1.058 1.316 1.708
26 0.684 0.856 1.058 1.315 1.706
27 0.684
0.855 1.057 1.314 1.703
28 0.683 0.855 1.056 1.313 1.701
29 0.683 0.854 1.055 1.311 1.699
30 0.683 0.854 1.055 1.310 1.697
31 0.682 0.853
32
0.682 0.853
33 0.682 0.853 1.053
34 0.682 0.852 1.052
35 0.682 0.852 1.052
2.528 2.845
0.686 0.859
0.686 0.858
0.685
0.858
2.069 2.177
2.162 2.479
2.064
2.060
2.056
2.052
2.158 2.473
2.048 2.154
2.045 2.150
2.467
2.462 2.756
2.042
2.147
2.457
2.750
1.054 1.309 1.696
1.054 1.309 1.694
1.308 1.692
1.307 1.691
1.306 1.690
df
0.25
0.20 0.15 0.10 0.05
1
1.000 1.376 1.963 3.078 6.314
2 0.816 1.061 1.386 1.886 2.920
3 0.765 0.978 1.250 1.638 2.353
4 0.741 0.941 1.190 1.533 2.132
5 0.727 0.920 1.156 1.476 2.015
21
22
23
24
25
a cos
2.040
2.037
2.035
2.032
2.030
0.01
2.144
2.141
2.138
2.136
2.133
0.005 0.0025
2.518 2.831
2.508 2.819
2.500
2.807
2.172 2.492
2.797
2.167 2.485 2.787
2.779
2.771
2.763
2.453
2.744
2.449 2.738
2.445 2.733
2.441 2.728
2.438 2.724
0.001
127.321 318.309
14.089 22.327
7.453 10.215
5.598 7.173
4.773
5.893
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
3.067
3.057
3.047
3.038
3.030
3.022
3.015
3.008
3.002
2.996
2.000
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.435
3.421
3.408
3.396
3.385
3.375
3.365
3.356
3.348
3.340
0.0005 df
636.619 1
31.599 2
12.924 3
8.610
4
6.869
5
5.959
6
7
5.041 8
5.408
4.781
9
10
4.587
4.437 11
4.318
12
4.221
13
4.140
14
4.073
15
4.015
3.965
3.922
3.883
3.850
16
17
18
19
20
3.819 21
3.792
22
3.768
23
3.745 24
3.725
25
3.707
26
3.690 27
3.674
28
3.659
29
3.646 30
3.633
3.622
3.611
31
32
33
3.601 34
3.591
35
Transcribed Image Text:t-Distribution Area in Right Tail Area in Right Tail 0.025 0.02 6 3.707 7 8 2.718 3.106 2.681 3.055 2.282 2.650 3.012 2.624 2.977 2.602 2.947 2.235 2.583 2.921 12.706 15.894 31.821 63.657 4.303 4.849 6.965 9.925 3.182 3.482 4.541 5.841 2.776 2.999 3.747 4.604 2.571 2.757 3.365 4.032 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 13 0.694 0.870 1.079 1.350 1.771 2.160 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 16 0.690 0.865 1.071 1.337 1.746 2.120 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 1.063 1.323 1.721 2.080 2.189 1.061 1.321 1.717 2.074 2.183 1.060 1.319 1.714 0.685 0.857 1.059 1.318 1.711 0.684 0.856 1.058 1.316 1.708 26 0.684 0.856 1.058 1.315 1.706 27 0.684 0.855 1.057 1.314 1.703 28 0.683 0.855 1.056 1.313 1.701 29 0.683 0.854 1.055 1.311 1.699 30 0.683 0.854 1.055 1.310 1.697 31 0.682 0.853 32 0.682 0.853 33 0.682 0.853 1.053 34 0.682 0.852 1.052 35 0.682 0.852 1.052 2.528 2.845 0.686 0.859 0.686 0.858 0.685 0.858 2.069 2.177 2.162 2.479 2.064 2.060 2.056 2.052 2.158 2.473 2.048 2.154 2.045 2.150 2.467 2.462 2.756 2.042 2.147 2.457 2.750 1.054 1.309 1.696 1.054 1.309 1.694 1.308 1.692 1.307 1.691 1.306 1.690 df 0.25 0.20 0.15 0.10 0.05 1 1.000 1.376 1.963 3.078 6.314 2 0.816 1.061 1.386 1.886 2.920 3 0.765 0.978 1.250 1.638 2.353 4 0.741 0.941 1.190 1.533 2.132 5 0.727 0.920 1.156 1.476 2.015 21 22 23 24 25 a cos 2.040 2.037 2.035 2.032 2.030 0.01 2.144 2.141 2.138 2.136 2.133 0.005 0.0025 2.518 2.831 2.508 2.819 2.500 2.807 2.172 2.492 2.797 2.167 2.485 2.787 2.779 2.771 2.763 2.453 2.744 2.449 2.738 2.445 2.733 2.441 2.728 2.438 2.724 0.001 127.321 318.309 14.089 22.327 7.453 10.215 5.598 7.173 4.773 5.893 4.317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.030 3.022 3.015 3.008 3.002 2.996 2.000 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 3.552 3.527 3.505 3.485 3.467 3.450 3.435 3.421 3.408 3.396 3.385 3.375 3.365 3.356 3.348 3.340 0.0005 df 636.619 1 31.599 2 12.924 3 8.610 4 6.869 5 5.959 6 7 5.041 8 5.408 4.781 9 10 4.587 4.437 11 4.318 12 4.221 13 4.140 14 4.073 15 4.015 3.965 3.922 3.883 3.850 16 17 18 19 20 3.819 21 3.792 22 3.768 23 3.745 24 3.725 25 3.707 26 3.690 27 3.674 28 3.659 29 3.646 30 3.633 3.622 3.611 31 32 33 3.601 34 3.591 35
To test Ho: μ = 100 versus H₁: μ100, a simple random sample size of n = 18 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
Click here to view the t-Distribution Area in Right Tail.
(a) If x= 104.5 and s= 8.2, compute the test statistic.
t= (Round to three decimal places as needed.)
Transcribed Image Text:To test Ho: μ = 100 versus H₁: μ100, a simple random sample size of n = 18 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x= 104.5 and s= 8.2, compute the test statistic. t= (Round to three decimal places as needed.)
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