To test Ho: u= 50 versus H,: u< 50, a rand Click here to view the t-Distribution Are a) If x = 47.3 and s= 14.5, compute the tes (Round to three decimal places as %3D
To test Ho: u= 50 versus H,: u< 50, a rand Click here to view the t-Distribution Are a) If x = 47.3 and s= 14.5, compute the tes (Round to three decimal places as %3D
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
Transcribed Image Text:To test Hn: µ = 50 versus H,: µ< 50, a random sample of size n = 23 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.
Click here to view the t-Distribution Area in Right Tail.
(a) If x = 47.3 and s = 14.5, compute the test statistic.
to =
(Round to three decimal places as needed.)
Transcribed Image Text:t-Distribution
Area in Right Tail
df
1.25
0.20
0.15
0.10
0.025
0,02
0.005
0.0025
0,001
0,0005
1.000
2.
1.963
1.386
1.250
1.190
1.156
15.894
4.849
3.482
2.999
1.376
3.078
6314
12.706
31.821
63.657
127.321
318.309
636.619
0.816
0.765
0.741
0.727
4.301
3.182
2.776
6.965
4.541
3.747
3.365
1.061
0.978
1.886
1.638
1.533
1.476
2.920
2.353
2.132
2.015
9.925
5.841
4.604
14.089
7.453
5.598
4.773
22.327
10.215
7.173
S893
31.599
12.924
8.610
0.941
0.920
2.571
2.757
4.032
6.869
1.943
1895
6.
0.718
0.906
0.896
0.S89
1.134
1.40
2.447
2.612
3.143
3.707
3.499
4.317
5.208
5.959
5.408
4.029
3.833
7
0.711
1415
1.397
1.383
1.372
2.365
2.306
2.517
2.449
1.119
1.108
1.100
1.093
2.998
2.896
2.821
2.764
4.785
4.501
4.297
4.144
0.706
0,703
0.700
L833
1.812
2.262
2.228
3.355
3.250
3.169
5.041
4.781
4.587
2.398
3.690
10
0.879
2.359
3.581
1.363
1356
1350
1.345
1.341
11
12
13
2.328
2,303
3.497
3.428
3.372
0697
0.876
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.718
2.681
2.650
2624
2.602
3.106
0.695
0.694
O.873
0.870
4.025
3.930
3.852
4.437
4.318
4.221
1.083
1079
1076
1.074
3.055
3.012
14
15
0.692
0.691
0.868
0.866
2.282
2.264
2.249
2.977
2.947
3.326
3.286
3.787
3.733
3.686
3646
4.140
4.073
2.131
0,690
0.689
2.921
2.848
0.865
O.63
0.862
0.861
16
17
1.071
1.069
1.337
1.333
1.746
1.740
2.120
2.110
2235
2.224
2.583
2.567
3.252
3.222
4.015
3.965
1.734
1.729
18
0.688
1067
1.066
1.330
1.328
2.101
2.093
2.214
2.552
2.539
2.878
3.197
3.174
3610
3.579
3.922
2.205
2.197
2.61
2.845
19
0.688
20
0,687
0.0
1.064
1.325
1.725
2.086
2.528
3.153
3.552
3850
21
22
0.859
1.063
1.061
1.323
1.321
1319
1318
1.721
1717
1.714
1.711
1.708
2.N0
2.189
2518
2.831
2.819
3.135
3.527
3819
0.858
2508
2.500
2.492
3.505
3485
3.467
0.686
0.685
0.685
0.684
2.074
2.069
2.064
2.183
2.177
2.172
2.167
2.162
3.119
3.104
3.091
3.078
3.792
3.768
3.745
3.725
23
24
1.060
L059
2.807
2.797
2.787
2.779
2.771
2.763
0.857
25
0856
1.316
2.060
2.485
3450
1.0S8
1.057
1056
1055
1055
1054
1O54
1053
LO52
1.052
26
0.684
1.315
2.056
2479
3.067
3.435
3.707
27
28
0,684
0.683
L314
L203
2.052
2048
2.158
2.473
2.467
3.057
3421
3.690
1.313
1.311
1310
3.047
3.408
1.701
L99
1697
L696
L694
1.692
29
30
2.154
2.150
2.147
2.756
2.750
3.674
3.659
3646
0.683
0.683
0.682
0682
0.682
0.682
0.682
0.854
0.854
2045
2.042
2.462
2.457
3.038
3.030
3396
3385
2.453
2.449
2.445
31
0.853
1.309
2.040
2.144
2.744
3.022
1.309
1.308
1307
1.306
3375
3.365
3.356
3.348
3340
3.633
3.622
3.611
3,601
3.591
32
33
0.853
0.853
0.852
OK52
2.037
2.035
2.032
2.030
2.141
2.138
2.738
2.733
3.015
3.008
3.002
2.996
34
35
1691
1.690
2136
2.133
2.441
2438
2.728
2.724
36
37
0.681
0.681
0.852
O.851
1.052
1.306
1.305
1688
2.028
2.131
2.129
2.434
2.719
2.715
2.990
2.985
3333
3.582
10S1
0.681
0.681
0.681
0.851
0.851
0.851
1.051
1O50
LOS0
1.304
1.304
1.303
169
L685
L684
2.026
2.024
2.023
2.021
2.127
2.125
2.123
2.431
2.429
2.426
2.423
2.712
2,708
2.704
2.980
2.976
2.971
3.326
3.319
3.313
3.307
3.574
3.566
3.558
3.551
39
40
0.679
0.679
0.678
0.678
1.676
L671
1667
L664
1662
1.047
1.045
1.299
1.296
1294
1292
2.109
2.099
2.403
2.390
2,678
2.660
2.937
2.915
2.899
2887
50
60
3.261
3.232
0.849
2.009
2.000
3.496
3.460
0.848
0.847
1044
LO43
1.994
1990
1.987
2.093
2.088
2.648
2.639
3.211
3.195
70
2.381
2.374
3.435
3.416
O.846
0.846
90
0.677
1.042
1.291
2.084
2.368
2.632
2.878
3.183
3402
O845
0.842
0.842
1660
1.646
1645
2.364
2626
0.677
0.675
0.674
1290
1.282
1.282
1.984
1.962
1.960
3.174
3.098
3090
2.081
2.871
2813
2.807
100
1042
3.390
1000
1.037
1036
2.056
2.054
2.330
2.326
2.581
2.576
3.300
3.291
Expert Solution
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The formula for test statistic is
Given information:
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