To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 18 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= 18.3 and s = 4.2, compute the test statistic. t= - 1.72 (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. B. C. (c) Approximate the P-value. Choose the correct range for the P-value below.
To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 18 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= 18.3 and s = 4.2, compute the test statistic. t= - 1.72 (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. B. C. (c) Approximate the P-value. Choose the correct range for the P-value below.
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
2
Transcribed Image Text:To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 18 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 = 18.3 and s = 4.2, compute the test statistic.
t= - 1.72 (Round to two decimal places as needed.)
(b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region?
A.
В.
(c) Approximate the P-value. Choose the correct range for the P-value below.
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
1.963
1.386
1.250
1.190
1.156
6.314
2.920
2.353
2.132
2.015
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
1.000
3.078
1.886
1.638
1.533
1.476
12.706
4.303
3.182
2.776
15.894
4.849
3.482
2.999
2.757
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
1
1.376
636.619
1
0.816
0.765
0.741
0.727
1.061
31.599
12.924
8,610
6.869
0.978
0.941
3
4
5
0.920
2571
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
1.943
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
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
0.906
3.143
2.998
2,896
2,821
2.764
5.208
4.785
4.501
4.297
5.959
5.408
5.041
4.781
4.587
0.896
0.889
7
8
1.383
1.372
9
0,883
0,879
10
4.144
10
2.201
2.179
2.160
2.145
2.131
3.497
3.428
3.372
3.326
3.286
11
0.697
0.876
1.088
1.363
1.356
1.350
1.345
1.796
2.328
2.303
2.282
2.264
2.249
2.718
3.106
4.025
4.437
11
0.695
0.694
0.692
0.691
0.873
0.870
0.868
1.083
1.079
1.076
1.074
2.681
2.650
2.624
2.602
3.930
3.852
3.787
3.733
12
1.782
1.771
1.761
1.753
3.055
3.012
2.977
4.318
4.221
4.140
12
13
13
14
14
15
0.866
1.341
2.947
4.073
15
1.337
1.333
1.330
1.328
1.325
2.235
2.224
2.214
2.205
2.197
3.686
3.646
1.071
1.069
1.067
1.066
1.064
4.015
3.965
3.922
3.883
3.850
16
17
0.690
0.689
0.865
0.863
0.862
0.861
0.860
1.746
1.740
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
2.921
2.898
3.252
3.222
3.197
3.174
3.153
16
17
0.688
0.688
0.687
18
1.734
2.878
3.610
3.579
3.552
18
1.729
1.725
2.861
2.845
19
19
20
20
0,859
0.858
0.858
0.57
0.856
1.323
1.321
1.319
1.318
1.316
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
3.135
3.119
3.104
3.091
3.078
21
22
0.686
0.686
0.685
0.685
0.684
1.063
1.061
1.060
1.059
1.058
1.721
1.717
2518
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
2.508
2.500
2.492
2.485
23
1.714
1.711
1.708
23
24
24
25
25
0,684
0.684
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.706
1.703
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
3.707
3.690
3.674
3.659
3.646
0.856
2.162
2.158
3.435
3.421
3.408
3.396
3.385
26
2.056
2.052
2.048
26
27
27
0,855
0.55
0.854
0.854
1.701
1.699
1.697
2.154
2.150
2.147
28
0.683
1.313
28
29
30
0.683
0.683
1.311
1.310
2.045
29
30
2.042
1.054
1.054
1.053
1.052
1.052
1.696
1.694
1.692
1.691
1.690
2.144
2.141
2.138
2.136
2.133
0.682
0.682
0.853
1.309
1.309
1.308
1.307
1.306
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
31
3.375
3.633
31
0.853
0.853
0.852
0.852
32
2.449
3.365
3.622
32
2.445
2.441
2.438
3.356
3.348
3.340
33
0.682
0.682
0.682
3.611
3.601
3.591
33
34
35
34
35
1.052
1.051
1.051
1.050
1.050
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
3.333
3.326
3.319
3.313
3.307
36
0.681
0.681
0.681
0.681
0.681
0.852
0.851
0.851
0.851
0,851
1.688
1.687
1.686
1.685
1.684
2.434
2.431
2.429
2.426
2.423
2.719
2.715
2.712
2.708
2.704
2.990
2.985
2.980
2.976
2.971
3.582
3.574
3.566
3.558
3.551
36
37
37
38
39
38
39
40
40
0.849
0,848
0.847
0,846
0.846
1.047
1.045
1.044
1.043
1.042
2.109
2.099
2.093
2.088
2.084
2.937
2.915
2.899
2.887
2.878
50
0.679
0.679
0.678
0.678
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
2.009
2.000
1.994
2.403
2.390
2.381
2.374
2.368
2.678
2.660
2.648
2.639
2.632
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
60
60
70
70
80
1.990
80
90
0,677
1.662
1.987
90
1.042
1.037
1.036
2.364
2.330
2.326
3.174
3.098
3.090
100
3.390
0.677
0.675
0.674
0.845
0.842
0,842
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
2.626
2.581
2,576
2.871
2.813
2.807
100
1000
3.300 1000
3.291 z
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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