To test Ho: µ= 100 versus H,: µ# 100, a simple random sample size of n= 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.2 and s = 8.4, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? O A. ов. Oc. Q
To test Ho: µ= 100 versus H,: µ# 100, a simple random sample size of n= 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.2 and s = 8.4, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? O A. ов. Oc. Q
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
19
Transcribed Image Text:To test Ho: µ = 100 versus H1: µ+ 100, a simple random sample size of n = 22 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 = 105.2 and s = 8.4, compute the test statistic.
t =
(Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values.
The critical values are
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
(c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution?
A.
В.
Oc.
Transcribed Image Text:t-Distribution
Arca 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
1.000
0.816
0.765
1.376
1.061
0,978
0.941
0.920
6.314
2.920
2.353
2.132
2.015
318.309
22.327
10.215
7.173
5.893
31.821
6.965
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
1
636.619
1
3
0,741
0.727
4,541
3.747
3.365
31.599
12.924
8.610
6,869
3
5
0.718
0.711
8
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
4.317
4.029
3.833
3.690
3.581
0.906
1.134
1.119
1.108
1.100
1.093
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
5.208
4.785
4.501
4.297
5.959
5.408
5.041
0.896
0.889
0.706
0.703
0.700
0.883
0.879
9
4.781
4.587
10
4.144
10
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.341
2.328
2.303
2.282
2.264
2.249
4.025
3.930
3.852
3.787
3.733
11
0.697
0,876
1.796
2.201
2.179
2.160
2.145
2.131
2.718
3.106
3.497
3.428
3.372
3.326
3.286
4.437
11
0.873
0.870
3.055
3.012
2.977
2.947
12
13
0.695
0.694
1.782
1.771
1.761
1.753
2.681
2.650
2.624
2.602
4.318
4.221
4.140
4.073
12
13
0.692
0.691
14
0.868
14
15
0.866
15
1.071
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
0.690
2.235
2.224
2.214
2.205
2.197
16
17
0.865
0,863
0.862
0.861
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
16
17
0.689
18
0.688
3.197
18
3.174
3.153
19
0.688
19
20
20
0.687
0.860
1.725
0.686
0.686
0.859
0,858
0858
0.857
0,856
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
21
22
1.721
1.717
1.714
1.711
1.708
2.080
2,831
21
2.074
2.069
2.064
2.060
2.819
2.807
2.797
2.787
22
23
23
0.685
0.685
0.684
24
24
25
25
0.684
0.684
0.683
0.683
0.683
1.058
1.057
1.056
1.055
1.055
2.479
2.473
3.435
3.421
0.856
0855
0.855
0.854
0.854
1.315
1.314
1.313
1.311
1.310
2.056
2.052
2.048
2.045
2.042
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.707
3.690
3.674
3.659
3.646
26
1.706
1.703
1.701
1.699
1.697
2.162
2.158
2.154
2.150
2.147
26
27
27
28
2.467
3.408
28
2.462
2.457
3.396
3.385
29
29
30
30
1.054
1.054
1.053
1.052
1.052
1.309
1.309
1.308
1.307
1.306
2.144
2.141
2.138
2.136
2.133
3.375
3.365
3.356
3.348
3.340
0.682
0.853
2.040
2.037
2.035
2.032
2.030
2.453
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.633
3.622
3.611
3.601
3.591
31
1.696
31
32
0.682
0.853
1.694
1.692
1.691
1.690
2.449
32
0.853
0.852
0.852
33
0.682
2.445
2.441
2.438
33
34
35
0.682
34
35
0.682
2.028
2.026
2.024
2.023
2.021
36
0.681
0.681
0.681
0.681
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.303
1.688
1.687
1.686
1.685
1.684
2.131
2.129
2.127
2.125
2.434
2.431
2.429
2.426
2.719
2.715
2.712
2.708
2.704
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
36
37
37
38
39
38
39
40
0,681
2.123
2.423
40
0.849
0.848
0.847
0.846
0,846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.291
2.009
2.000
1.994
1.990
3.261
3.232
3.211
3.195
3.183
2.109
2.403
2.390
2.381
2.374
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
3.496
3.460
3.435
3.416
3.402
50
0.679
1.676
50
1.671
1.667
1.664
1.662
2.099
2.093
2.088
2.084
60
0.679
0.678
0.678
0.677
60
70
70
80
80
90
1.987
2.368
90
1.042
1.037
1.036
1.290
1.282
1.282
3.174
3.098
3.090
100
0.677
0,675
0.674
0.845
0.842
0.842
1.660
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2,813
2.807
3.390
3.300 1000
3.291 z
100
1.646
1.645
1000
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
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