To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. t= 2.651 (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.)
To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic. t= 2.651 (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.)
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:To test Ho: µ = 100 versus H,: µ# 100, a simple random sample size of n = 24 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 = 104.6 and s = 8.5, compute the test statistic.
t = 2.651 (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.)
Transcribed Image Text:t-Distribution Area in Right Tail
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
1.376
1.061
0.978
0.941
0.920
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
31.821
1.963
1.386
1.250
1.190
1.156
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8.610
6.869
1
1.000
1
0.816
3
4.849
3.482
2.999
6.965
4.541
3.747
3.365
2
3
0.765
0.741
0.727
5
2.757
0.718
0.711
0.706
0.703
0.700
1.134
1.119
1.108
1.100
1.093
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
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
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
4.587
6.
0.906
6.
0.896
0.889
0,883
8.
10
0.879
10
0.876
0.873
0.870
1.363
1.356
1.350
1.345
1.341
2.328
2.303
2.282
3.106
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.718
2.681
2.650
2.624
2.602
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
4.437
4.318
4.221
4.140
4.073
11
0.697
1.088
12
13
0.695
0.694
11
12
13
1.083
1.079
1.076
1.074
3.055
0.868
0,866
2.145
2.131
3.012
2.977
2.947
14
0.692
0.691
2.264
2.249
14
15
3.733
15
1.746
1.740
1.337
1.333
1.330
1.328
1.325
2.235
2.224
2.214
2.205
2.197
0,865
0,863
1.071
1.069
2.120
2.110
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
16
17
0,690
0.689
16
17
1.067
1.066
3.197
3.174
3.153
18
0.688
0,862
0,861
0.860
1.734
1.729
1.725
2.101
2.093
2.086
18
19
0.688
19
20
0.687
1.064
20
0.686
0,686
0.685
0.685
0.684
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
2518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
21
22
23
0.859
0.858
1.721
1.717
2.080
2.074
2.069
2.189
2.183
2.177
2.172
2.167
3.135
3.119
3.104
3.091
3.078
21
22
0.858
0,857
0.856
1.714
1.711
1.708
23
2.064
2.060
24
24
25
25
0.684
0,684
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.706
1.703
1.701
1.699
1.697
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
26
27
1.315
1.314
1.313
1.311
1.310
2.056
2.052
2.048
2.045
2.042
26
27
28
29
30
0,683
0.683
28
29
30
0,853
0.853
0,853
0.852
0.852
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
2.453
2.449
2.445
2.441
2.438
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
0,682
0.682
1.696
2.040
2.037
2.035
2.032
2.030
2.744
2.738
2.733
2.728
2.724
31
31
32
33
1.694
32
1.692
1.691
1.690
33
34
35
0.682
r your
34
35
0.682
0.682
arts
emainir
0.852
0.851
0.851
0,851
0.851
1.306
1.305
1.304
1.304
1.303
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
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
0,681
1.052
1.051
1.051
1.050
1.050
1.688
2.434
36
37
1.687
1.686
1.685
1.684
2.431
2.429
2.426
2.423
0.681
38
39
0,681
0.681
0.681
38
39
40
40
1.299
1.296
1.294
1.292
1.291
2.009
2.000
1.994
1.990
1.987
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
0,679
1.047
1.676
1.671
1.667
1.664
1.662
2.109
2.099
2.093
2.088
2.084
2.403
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
0,849
50
0,848
0,847
0.846
0,846
60
0.679
0.678
0.678
1.045
2.390
60
2.381
2.374
2.368
70
1.044
1.043
1.042
70
80
80
90
0.677
90
1.984
1.962
1.960
2.871
2.813
2.807
100
0.677
0,845
1.042
1.037
1.036
1.290
1.660
2.081
2.364
2.626
3.174
3.390
100
0.675
0.674
1.282
1.282
2.056
2.054
2.330
2.326
2.581
2.576
3.098
3.090
3.300 1000
3.291 z
1000
0,842
0,842
1.646
1.645
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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