To test Ho: H= 20 versus H,: u< 20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). O Click here to view the t-Distribution Area in Right Tail. (a) If x = 18 and s = 4.3, compute the test statistic. t= - 1.86 (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? OA. в. C.
To test Ho: H= 20 versus H,: u< 20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). O Click here to view the t-Distribution Area in Right Tail. (a) If x = 18 and s = 4.3, compute the test statistic. t= - 1.86 (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? OA. в. C.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 77E
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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
12.706
4.303
3.182
2.776
2571
15.894
4.849
3.482
2.999
31.821
6.965
4.541
3.747
3.365
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
1.376
1.963
1.386
1.250
1.190
3.078
6.314
2.920
2.353
2.132
2.015
2
0,816
0.765
0.741
0.727
1.061
0.978
0.941
0.920
1.886
1.638
1.533
1.476
2
3
3
5
1.156
2.757
5
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
0.718
7
0.906
1.134
1.119
1.108
1.100
1.093
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
6.
0.711
8
0.706
0.703
0.700
0.896
0.889
0.883
0.879
4.029
3.833
3.690
3.581
8
9
10
4.587
10
0.697
0,695
0,694
0.692
0.691
0.876
0.873
0,870
0.868
1.363
1.356
1.350
1.345
1.341
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
11
1.088
1.796
4.437
11
12
13
1.083
1.079
1.076
1.782
1.771
1.761
1.753
4.318
4.221
12
13
3.852
3.787
3.733
14
4.140
14
15
0.866
1.074
4.073
15
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
3.252
3.222
3.197
3.174
3.153
0.690
16
17
0,865
0,863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
2.235
2.224
2.214
2.205
2.197
2.921
2.898
2.878
2.861
2.845
3.686
3.646
4.015
3.965
16
17
0.689
0.688
0,688
0.687
18
3.610
3.922
3.883
3.850
18
3.579
3.552
19
19
20
20
0.859
0858
0.858
0,857
0.856
1.323
1.321
1.063
1.061
1.060
1.721
1.717
1.714
1.711
1.708
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
3.527
3.505
3.485
3.467
3.450
21
22
0.686
0.686
2.518
2.831
2.819
2,807
2.797
2.787
3.819
3.792
3.768
3.745
3.725
21
22
0.685
0.685
0.684
1.319
1.318
1.316
2.508
2.500
2.492
2.485
23
23
24
1.059
24
25
1.058
25
3.435
3.421
0856
0,855
0855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
2.056
2.052
2.162
2.158
2.154
2.150
2.147
3.067
3.057
3.707
3.690
3.674
3.659
3.646
26
27
0,684
1.706
1.703
1.701
1.699
1.697
26
0.684
0.683
0.683
0.683
27
28
2.048
3.047
3.408
28
29
30
2.045
2.042
3.038
3.030
3.396
3.385
29
30
1.054
1.054
1.053
1.052
1.052
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
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
31
0.682
0,853
1.309
31
0.682
0.682
0.682
0.682
0.853
0,853
0.852
0.852
1.309
1.308
1.307
1.306
32
32
33
33
34
35
34
35
1.306
1.305
1.304
1.304
1.303
2.131
2.129
2.127
2.125
2.123
2.719
2.715
36
0.681
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
1.688
1.687
1.686
1.685
1.684
2.028
2.026
2.024
2.023
2.021
2.434
2.431
2.429
2.426
2.423
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
2.712
2.708
2.704
38
39
40
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
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
1.990
2.678
2.660
2.648
2.639
2.632
2.109
0,679
0.679
0.678
0.678
0.677
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
2.403
50
2.099
2.093
2.088
2.084
2.390
2.381
2.374
2.368
60
60
70
70
80
80
90
1.987
90
1.660
1.646
1.645
3.174
3.098
3.090
100
0.677
0.675
0,674
0,845
0.842
0,842
1.042
1.037
1.290
1.282
1.282
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
3.390 100
3.300 1000
3.291 z
1000
1.036
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
Transcribed Image Text:To test Ho: µ= 20 versus H, : µ< 20, a simple random sample of size n= 16 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 and s = 4.3, compute the test statistic.
t =
- 1.86 (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.
OC.
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