use the table provided in attachments. to test H0: u=100 versus h1 u not equal to 100, a simple random sample of size n=19 is obtained from a population that is known to be normally distributed.   if xbar =104.2 and 8.5, compute the test statistic. T= 2.154 B. if the researcher decides to test this hypothesis at the a=.01 level of significance, determine the critical values C. Construct a 99% confidence interval to test the hypothesis.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Chapter 10 number 15

use the table provided in attachments.

to test H0: u=100 versus h1 u not equal to 100, a simple random sample of size n=19 is obtained from a population that is known to be normally distributed.  

if xbar =104.2 and 8.5, compute the test statistic.

T= 2.154

B. if the researcher decides to test this hypothesis at the a=.01 level of significance, determine the critical values

C. Construct a 99% confidence interval to test the hypothesis.  

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
1
1.000
1.376
1.963
3.078
6.314
12.706
15.894
31.821
63.657
127.321
318.309
636.619
1
1.386
1.250
1.190
6.965
4.541
3.747
2
0.816
1.061
1.886
2.920
4.303
4.849
9.925
14.089
22.327
31.599
2
3
4
0.765
0.741
0.978
0.941
3.182
2.776
3.482
2.999
7.453
5.598
1.638
2.353
2.132
5.841
4.604
10.215
12.924
8.610
3
1.533
7.173
5.893
0.727
0.920
1.156
1.476
2.015
2.571
2.757
3.365
4.032
4.773
6.869
5
1.943
5.208
4.785
4.501
6
0.718
0.906
1.134
1.440
2.447
2.612
3.143
3.707
4.317
5.959
6.
7
0.711
0.706
0.896
0.889
1.119
1.108
1.415
1.895
1.860
2.365
2.306
2.517
2.449
2.998
2.896
3.499
3.355
4.029
3.833
5.408
5.041
7
1.397
0.703
0.883
1.100
1.383
1.833
2.262
2.398
2.821
3.250
3.690
4.297
4.781
10
0.700
0.879
1.093
1.372
1.812
2.228
2.359
2.764
3.169
3.581
4.144
4.587
10
0.697
0.695
0.694
11
0.876
1.088
1.363
1.356
1.350
1.796
2.201
2.328
2.718
3.106
3.497
4.025
4.437
11
2.179
2.160
2,303
2.282
3.428
3.372
3.326
3.286
12
13
0.873
0.870
1.083
1.079
1.782
2.681
2.650
3.055
3.012
3.930
3.852
3.787
3.733
4.318
4.221
12
13
1.771
14
0.692
0.691
0.868
1.076
1.345
1.761
2.145
2.264
2.624
2.977
4.140
14
15
0.866
1.074
1.341
1.753
2.131
2.249
2.602
2.947
4.073
15
16
17
0.690
0.689
0.865
0.863
1.071
1.069
1.337
1.333
1.746
1.740
2.120
2.110
2.235
2.224
2.921
2.898
2,583
2.567
2.552
2.539
3.252
3.686
3.646
4.015
3.965
16
17
3.222
3.197
0.862
1.067
2.101
2.093
2 086
18
0.688
1.330
1.734
2.214
2.878
3.610
3.922
18
1.729
1 725
19
0.688
0.861
1.066
1.328
2.205
2.861
3.174
3.579
3.883
19
20
0 687
O 860
1064
1 325
2197
2528
2 845
3153
3552
3850
20
Transcribed Image Text: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 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 1 1.386 1.250 1.190 6.965 4.541 3.747 2 0.816 1.061 1.886 2.920 4.303 4.849 9.925 14.089 22.327 31.599 2 3 4 0.765 0.741 0.978 0.941 3.182 2.776 3.482 2.999 7.453 5.598 1.638 2.353 2.132 5.841 4.604 10.215 12.924 8.610 3 1.533 7.173 5.893 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 6.869 5 1.943 5.208 4.785 4.501 6 0.718 0.906 1.134 1.440 2.447 2.612 3.143 3.707 4.317 5.959 6. 7 0.711 0.706 0.896 0.889 1.119 1.108 1.415 1.895 1.860 2.365 2.306 2.517 2.449 2.998 2.896 3.499 3.355 4.029 3.833 5.408 5.041 7 1.397 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 10 0.697 0.695 0.694 11 0.876 1.088 1.363 1.356 1.350 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 11 2.179 2.160 2,303 2.282 3.428 3.372 3.326 3.286 12 13 0.873 0.870 1.083 1.079 1.782 2.681 2.650 3.055 3.012 3.930 3.852 3.787 3.733 4.318 4.221 12 13 1.771 14 0.692 0.691 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 4.140 14 15 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 4.073 15 16 17 0.690 0.689 0.865 0.863 1.071 1.069 1.337 1.333 1.746 1.740 2.120 2.110 2.235 2.224 2.921 2.898 2,583 2.567 2.552 2.539 3.252 3.686 3.646 4.015 3.965 16 17 3.222 3.197 0.862 1.067 2.101 2.093 2 086 18 0.688 1.330 1.734 2.214 2.878 3.610 3.922 18 1.729 1 725 19 0.688 0.861 1.066 1.328 2.205 2.861 3.174 3.579 3.883 19 20 0 687 O 860 1064 1 325 2197 2528 2 845 3153 3552 3850 20
20
0.687
0.860
1.064
1.325
1.725
2.086
2.197
2.528
2.845
3.153
3.552
3.850
20
21
22
0.686
0.686
0.859
0.858
1.063
1.061
2.518
2.508
3.135
3.119
3.104
1.323
1.721
1.717
2.080
2.074
2.189
2.831
2.819
3.527
3.505
3.819
3.792
21
22
1.321
2.183
2.177
23
0.685
0.858
1.060
1.319
1.714
2.069
2.500
2.807
3.485
3.768
23
0.685
0.684
1.059
1.058
0.857
1.711
1.708
2.064
2.172
3.745
3.725
24
1.318
2.492
2.797
3.091
3.467
24
25
0.856
1.316
2.060
2.167
2.485
2.787
3.078
3.450
25
2.056
2.052
2.479
3.067
3.057
3.047
3.038
3.030
26
0.684
0.856
1.058
1.315
1.706
2.162
2.779
3.435
3.707
26
1.314
1.313
27
0.684
0.855
1.057
1.703
2.158
2.473
2.771
3.421
3.690
27
0.55
3.674
3.659
3.646
28
0.683
1.056
1.701
2.048
2.154
2.467
2.763
3.408
28
29
30
1.055
1.055
0.683
0.854
1.311
1.310
1.699
1.697
2.045
2.042
2.150
2.147
2.462
2.756
2.750
3.396
3.385
29
0.683
0.854
2.457
30
1.054
1.054
1.053
31
0.682
0.853
1.309
1.696
2.040
2.144
2.453
2.744
3.022
3.015
3.375
3.633
31
32
1.694
2.141
2.138
3.622
3.611
3.601
0.682
0.853
1.309
2.037
2.449
2.738
3.365
32
33
33
0.682
0.853
1.308
1.692
2.035
2.445
2.733
3.008
34
35
0.682
0.682
0.852
0.852
1.052
1.052
1.307
1.306
2.032
2.030
3.356
3.348
3.340
34
35
1.691
2.136
2.441
2.438
2.728
2.724
3.002
2.996
1.690
2.133
3.591
36
0.681
0.852
1.052
1.306
1.688
2.028
2.131
2.434
2.719
2.990
3.333
3.582
36
37
0.681
0.851
1.051
1.305
1.687
2.026
2.129
2.431
2.715
2.985
3.326
3.574
37
38
39
0.681
0.681
2.127
2.125
0.851
1.051
1.050
1.304
1.304
1.686
2.024
2.023
2.429
2.426
2.712
2.708
2.980
2.976
3.319
3.566
3.558
38
39
3.313
0.851
0.851
1.685
1.684
40
0.681
1.050
1.303
2.021
2.123
2.423
2.704
2.971
3.307
3.551
40
0670
1047
1200
1676
2 100
2 402
2679
2 027
2 361
2 406
Transcribed Image Text:20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 20 21 22 0.686 0.686 0.859 0.858 1.063 1.061 2.518 2.508 3.135 3.119 3.104 1.323 1.721 1.717 2.080 2.074 2.189 2.831 2.819 3.527 3.505 3.819 3.792 21 22 1.321 2.183 2.177 23 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807 3.485 3.768 23 0.685 0.684 1.059 1.058 0.857 1.711 1.708 2.064 2.172 3.745 3.725 24 1.318 2.492 2.797 3.091 3.467 24 25 0.856 1.316 2.060 2.167 2.485 2.787 3.078 3.450 25 2.056 2.052 2.479 3.067 3.057 3.047 3.038 3.030 26 0.684 0.856 1.058 1.315 1.706 2.162 2.779 3.435 3.707 26 1.314 1.313 27 0.684 0.855 1.057 1.703 2.158 2.473 2.771 3.421 3.690 27 0.55 3.674 3.659 3.646 28 0.683 1.056 1.701 2.048 2.154 2.467 2.763 3.408 28 29 30 1.055 1.055 0.683 0.854 1.311 1.310 1.699 1.697 2.045 2.042 2.150 2.147 2.462 2.756 2.750 3.396 3.385 29 0.683 0.854 2.457 30 1.054 1.054 1.053 31 0.682 0.853 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.015 3.375 3.633 31 32 1.694 2.141 2.138 3.622 3.611 3.601 0.682 0.853 1.309 2.037 2.449 2.738 3.365 32 33 33 0.682 0.853 1.308 1.692 2.035 2.445 2.733 3.008 34 35 0.682 0.682 0.852 0.852 1.052 1.052 1.307 1.306 2.032 2.030 3.356 3.348 3.340 34 35 1.691 2.136 2.441 2.438 2.728 2.724 3.002 2.996 1.690 2.133 3.591 36 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.719 2.990 3.333 3.582 36 37 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715 2.985 3.326 3.574 37 38 39 0.681 0.681 2.127 2.125 0.851 1.051 1.050 1.304 1.304 1.686 2.024 2.023 2.429 2.426 2.712 2.708 2.980 2.976 3.319 3.566 3.558 38 39 3.313 0.851 0.851 1.685 1.684 40 0.681 1.050 1.303 2.021 2.123 2.423 2.704 2.971 3.307 3.551 40 0670 1047 1200 1676 2 100 2 402 2679 2 027 2 361 2 406
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