To test HO: u=50 versus H1: u less than 50, a random sample size of n=25 is obtained from a population that is known to be normally distributed. If xbar =47.9 and s = 14.1, compute the test statistic. test statistic =-0.745 If the researcher decides to test this hypothesis at the a=0.1 level of significance, determine the critical value(s). Use the table given.
To test HO: u=50 versus H1: u less than 50, a random sample size of n=25 is obtained from a population that is known to be normally distributed. If xbar =47.9 and s = 14.1, compute the test statistic. test statistic =-0.745 If the researcher decides to test this hypothesis at the a=0.1 level of significance, determine the critical value(s). Use the table given.
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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Question
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USE THE TABLE GIVEN
To test HO: u=50 versus H1: u less than 50, a random
If xbar =47.9 and s = 14.1, compute the test statistic.
test statistic =-0.745
If the researcher decides to test this hypothesis at the a=0.1 level of significance, determine the critical value(s). Use the table given.
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
15.894
4.849
3.482
2.999
1
1.000
1.376
1.963
3.078
6.314
12.706
31.821
63.657
127.321
318.309
636.619
6.965
4.541
3.747
2
0.816
1.061
1.386
1.886
2.920
4.303
9.925
14.089
22.327
31.599
3
4
0.765
0.741
0.978
0.941
1.250
1.190
1.638
1.533
2.353
2.132
2.015
3.182
2.776
5.841
4.604
4.032
7.453
5.598
10.215
7.173
12.924
8.610
5
0.727
0.920
1.156
1.476
2.571
2.757
3.365
4.773
5.893
6.869
0.718
0.906
1.134
1.440
1.943
2.447
2.612
3.143
3.707
4.317
5.208
5.959
1.895
1.860
7
0.711
0.896
0.889
1.119
1.415
2.365
2.306
2.517
2.998
2.896
3.499
3.355
4.029
4.785
4.501
5.408
5.041
0.706
0.703
0.700
1.108
1.397
2.449
2.398
8
3.833
0.883
2.821
2.764
9
1.100
1.383
1.833
2.262
3.250
3.690
4.297
4.781
4.587
10
0.879
1.093
1.372
1.812
2.228
2.359
3.169
3.581
4.144
11
0.697
0.876
1.088
1.363
1.796
2.201
2.328
2.718
3.106
3.497
4.025
4.437
12
13
0.695
0.873
0.870
1.083
1.079
1.076
1.356
1.350
1.782
1.771
2.179
2.160
2.303
2.282
2.681
2.650
3.055
3.012
3.428
3.372
3.930
4.318
4.221
0.694
0.692
0.691
3.852
14
0.868
1.345
1.761
2.145
2.264
2.624
2.977
3.326
3.787
4.140
15
0.866
1.074
1.341
1.753
2.131
2.249
2.602
2.947
3.286
3.733
4.073
3.252
3.222
0.865
0.863
0.862
O 861
1.071
1.069
1.067
16
17
0.690
0.689
1.337
1.333
1.746
1.740
2.120
2.110
2.235
2.224
2.583
2.567
2.921
3.686
4.015
3.965
2.898
3.646
0.688
0 688
18
1.330
1.734
2.101
2.214
2.552
2.878
3.197
3.610
3.922
3. 883
19
1066
1 328
1 729
2093
2205
2539
2 861
3174
3579
Transcribed Image Text:3.883
3.850
19
0.088
0.861
1.066
1.328
1./29
2.093
2.205
2539
2.861
3.174
3.579
20
0.687
0.860
1.064
1.325
1.725
2.086
2.197
2.528
2.845
3.153
3.552
3.135
3.119
3.104
3.091
21
22
0.686
0.686
0.859
0.858
1.063
1.061
1.323
1.321
1.721
1.717
1.714
2,080
2.074
2.189
2.183
2.518
2.508
2.831
2.819
3.527
3.505
3.819
3.792
23
0.685
0.858
1.060
1.319
2.069
2.177
2.500
2.807
3.485
3.768
24
0.685
0.857
1.059
1.318
1.711
2.064
2.060
2.172
2.492
2.797
3.467
3.745
25
0.684
0.856
1.058
1.316
1.708
2.167
2.485
2.787
3.078
3.450
3.725
26
0.684
2.779
3.435
0.856
0.855
1.058
1.315
1.706
2.056
2.162
2.479
3.067
3.707
3.057
3.047
27
0.684
1.057
1.314
1.703
1.701
2.052
2.158
2.473
2.771
3.421
3.690
28
0.683
0.855
1.056
1.313
2.048
2.154
2.467
2.763
3.408
3.674
29
30
0.683
0.683
0.854
0.854
2.462
2.457
1.055
1.311
1.310
1.699
1.697
2.045
2.042
2.150
2.147
2.756
2.750
3.038
3.030
3.396
3.385
3.659
3.646
1.055
31
2.744
0.682
0.682
0.853
1.054
1.309
1.696
2.040
2.144
2.453
3.022
3.015
3.375
3.633
0.853
0.853
0.852
0.852
1.694
1.692
32
1.054
1.309
2.037
2.035
2.141
2.449
2.738
3.365
3.622
33
0.682
1.053
1.308
2.138
2.445
2.733
3.008
3.356
3.611
34
35
0.682
0,682
1.052
1.052
1.307
1.306
1.691
1.690
2.032
2.030
2.136
2.133
2.441
2.438
2.728
2.724
3.002
2.996
3.348
3.340
3.601
3.591
2.131
2.129
2.719
2.715
3.582
3.574
3.566
3.558
36
0.681
0.852
1.052
1.306
1.688
2.028
2.026
2.434
2.990
3.333
3.326
37
0.681
0.851
1.051
1.305
1.687
2.431
38
39
0.681
0.681
0.851
0.851
1.051
1.050
2.127
2.125
2.985
2.980
2.976
1.304
1.686
2.024
2.023
2.429
2.426
2.712
2.708
3.319
3.313
1.304
1.303
1.685
1.684
40
0.681
0.851
1.050
2.021
2.123
2.423
2.704
2.971
3.307
3.551
50
0.679
0.849
1.047
1.299
1.676
2.009
2.109
2.403
2.678
2.937
3.261
3.496
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