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=
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
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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

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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