To test Ho: µ = 103 versus H4: µ# 103 a simple random sample of size n = 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. B. Yes, because n2 30. C. Yes, because the sample is random. D. No, because the test is two-tailed. (b) If x = 99.8 and s = 5.9, compute the test statistic. The test statistic is to = |. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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To test Ho: µ= 103 versus H,: µ# 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below.
Click here to view the t-Distribution Area in Right Tail.
(a) Does the population have to be normally distributed to test this hypothesis? Why?
A. No, because n2 30.
B. Yes, because n2 30.
C. Yes, because the sample is random.
D. No, because the test is two-tailed.
(b) If x = 99.8 and s = 5.9, compute the test statistic.
The test statistic is to =. (Round to two decimal places as needed.)
Transcribed Image Text:To test Ho: µ= 103 versus H,: µ# 103 a simple random sample of size n= 35 is obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distributed to test this hypothesis? Why? A. No, because n2 30. B. Yes, because n2 30. C. Yes, because the sample is random. D. No, because the test is two-tailed. (b) If x = 99.8 and s = 5.9, compute the test statistic. The test statistic is to =. (Round to two decimal places as needed.)
t-Distribution Area in Right Tail
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
df
12.706
15.894
4.849
31.821
6.965
4.541
3.747
63.657
9.925
5.841
4.604
4.032
318.309
1.000
0.816
1.376
1.963
3.078
6.314
127.321
636.619
1
2.920
2.353
2.132
2.015
1.886
4.303
3.182
2.776
2.571
1.061
31.599
1.386
1.250
1.190
14.089
7.453
5.598
22.327
2
0.765
0.741
0.978
0.941
1.638
1.533
1.476
3.482
2.999
2.757
10.215
7.173
5.893
12.924
8.610
3
0.727
0.920
1.156
3.365
4.773
6.869
6.
5.959
5.408
5.041
0.718
1.943
1.895
1.860
1.833
1.812
3.707
4.317
4.029
3.833
5.208
4.785
4.501
4.297
4.144
0.906
1.134
1.119
1.108
1.440
2.447
2.612
3.143
6.
2.517
1.415
1.397
1.383
1.372
2.365
2.306
2.262
0.896
0.889
7
0.711
0.706
2.998
2.896
3.499
3.355
3.250
7
8
2.449
3.690
3.581
0.703
0.883
1.100
2.398
2.359
9.
2.821
4.781
9
10
0.700
0.879
1.093
2.228
2.764
3.169
4.587
10
0.697
0.695
0.694
0.692
4.025
3.930
3.852
0.876
2.201
2.179
2.160
2.145
2.718
2.681
2.650
11
1.088
1.363
1.796
3.497
2.328
2.303
2.282
2.264
2.249
3.106
3.055
3.012
2.977
2.947
4.437
4.318
4.221
4.140
11
12
13
0.873
0.870
0.868
1.083
1.079
1.076
1.356
1.350
1.782
1.771
3.428
3.372
3.326
12
13
1.345
1.341
14
1.761
1.753
2.624
3.787
14
15
15
0.691
0.866
1.074
2.131
2.602
3.286
3.733
4.073
3.252
3.222
0.865
0.863
0.862
0.861
1.071
1.069
1.067
1.337
1.333
2.583
2.567
2.552
2.539
2.528
16
17
0.690
0.689
1.746
1.740
1.734
2.120
2.110
2.235
2.224
2.921
2.898
3.686
3.646
3.610
3.579
4.015
3.965
16
17
1.330
1.328
1.325
2.878
2.861
2.845
18
0.688
2.101
2.214
3.197
3.922
18
3.883
3.850
19
0.688
1.066
1.729
2.093
2.086
2.205
2.197
3.174
19
20
0.687
0.860
1.064
1.725
3.153
3.552
20
1.721
1.717
0.686
0.686
0.685
0.685
0.859
0.858
0.858
1.063
1.061
1.060
1.059
1.058
3.135
3.119
3.104
3.091
2.080
2.074
2.189
2.183
2.518
2.508
2.500
2.831
2.819
2.807
2.797
2.787
3.527
3.505
3.485
3.467
21
22
1.323
1.321
3.819
3.792
21
22
23
1.319
1.714
2.069
2.177
3.768
23
1.711
1.708
2.172
2.167
3.745
3.725
24
0.857
0.856
1.318
2.064
2.492
24
25
0.684
1.316
2.060
2.485
3.078
3.450
25
0.856
0.855
0.855
0.854
3.707
3.690
3.674
0.684
1.315
1.706
1.703
1.701
2.056
2.162
3.067
3.057
3.047
3.038
2030.
26
1.058
2.479
3.435
2.779
2.771
2.763
2.756
26
1.314
1.313
1.311
2.473
2.467
27
0.684
1.057
2.052
2.158
2.154
3.421
27
28
1.056
0.683
0.683
2.048
3.408
28
29
1.055
1.699
2.045
2.150
2 147.
2.462
2 457.
3.396
2. 205
3.659
29
20
0682
1055
1210
1607
2012
2750
2646
20
123
Transcribed Image Text:t-Distribution Area in Right Tail t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df 12.706 15.894 4.849 31.821 6.965 4.541 3.747 63.657 9.925 5.841 4.604 4.032 318.309 1.000 0.816 1.376 1.963 3.078 6.314 127.321 636.619 1 2.920 2.353 2.132 2.015 1.886 4.303 3.182 2.776 2.571 1.061 31.599 1.386 1.250 1.190 14.089 7.453 5.598 22.327 2 0.765 0.741 0.978 0.941 1.638 1.533 1.476 3.482 2.999 2.757 10.215 7.173 5.893 12.924 8.610 3 0.727 0.920 1.156 3.365 4.773 6.869 6. 5.959 5.408 5.041 0.718 1.943 1.895 1.860 1.833 1.812 3.707 4.317 4.029 3.833 5.208 4.785 4.501 4.297 4.144 0.906 1.134 1.119 1.108 1.440 2.447 2.612 3.143 6. 2.517 1.415 1.397 1.383 1.372 2.365 2.306 2.262 0.896 0.889 7 0.711 0.706 2.998 2.896 3.499 3.355 3.250 7 8 2.449 3.690 3.581 0.703 0.883 1.100 2.398 2.359 9. 2.821 4.781 9 10 0.700 0.879 1.093 2.228 2.764 3.169 4.587 10 0.697 0.695 0.694 0.692 4.025 3.930 3.852 0.876 2.201 2.179 2.160 2.145 2.718 2.681 2.650 11 1.088 1.363 1.796 3.497 2.328 2.303 2.282 2.264 2.249 3.106 3.055 3.012 2.977 2.947 4.437 4.318 4.221 4.140 11 12 13 0.873 0.870 0.868 1.083 1.079 1.076 1.356 1.350 1.782 1.771 3.428 3.372 3.326 12 13 1.345 1.341 14 1.761 1.753 2.624 3.787 14 15 15 0.691 0.866 1.074 2.131 2.602 3.286 3.733 4.073 3.252 3.222 0.865 0.863 0.862 0.861 1.071 1.069 1.067 1.337 1.333 2.583 2.567 2.552 2.539 2.528 16 17 0.690 0.689 1.746 1.740 1.734 2.120 2.110 2.235 2.224 2.921 2.898 3.686 3.646 3.610 3.579 4.015 3.965 16 17 1.330 1.328 1.325 2.878 2.861 2.845 18 0.688 2.101 2.214 3.197 3.922 18 3.883 3.850 19 0.688 1.066 1.729 2.093 2.086 2.205 2.197 3.174 19 20 0.687 0.860 1.064 1.725 3.153 3.552 20 1.721 1.717 0.686 0.686 0.685 0.685 0.859 0.858 0.858 1.063 1.061 1.060 1.059 1.058 3.135 3.119 3.104 3.091 2.080 2.074 2.189 2.183 2.518 2.508 2.500 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 21 22 1.323 1.321 3.819 3.792 21 22 23 1.319 1.714 2.069 2.177 3.768 23 1.711 1.708 2.172 2.167 3.745 3.725 24 0.857 0.856 1.318 2.064 2.492 24 25 0.684 1.316 2.060 2.485 3.078 3.450 25 0.856 0.855 0.855 0.854 3.707 3.690 3.674 0.684 1.315 1.706 1.703 1.701 2.056 2.162 3.067 3.057 3.047 3.038 2030. 26 1.058 2.479 3.435 2.779 2.771 2.763 2.756 26 1.314 1.313 1.311 2.473 2.467 27 0.684 1.057 2.052 2.158 2.154 3.421 27 28 1.056 0.683 0.683 2.048 3.408 28 29 1.055 1.699 2.045 2.150 2 147. 2.462 2 457. 3.396 2. 205 3.659 29 20 0682 1055 1210 1607 2012 2750 2646 20 123
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