You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three decimal places.)
You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three decimal places.)
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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![TABLES
699
Table entry for C is the critical value
t* required for confidence level C.
To approximate one- and two-sided
P-values, compare the value of the t
Tail area
statistic with the critical values of t*
Area C
that match the P-values given at the
bottom of the table.
t*
TABLE C t distribution critical values
Confidence level C
Degrees of
freedom
50%
60%
70%
80%
90%
95%
96%
98%
99%
99.5%
99.8%
99.9%
1
1.000
1.376
1.963
3.078
6.314
12.71
15.89
31.82
63.66
127.3
318.3
636.6
0.816
1.061
1.386
1.886
2.920
4.303
4.849
6.965
9.925
14.09
22.33
31.60
1.250
7.453
5.598
3
0.765
0.978
1.638
2.353
3.182
3.482
4.541
5.841
10.21
12.92
4
0.741
0.941
1.190
1.533
2.132
2.776
2.999
3.747
4.604
7.173
8.610
0.727
0.920
1.156
1.476
2.015
2.571
2.757
3.365
4.032
4.773
5.893
6.869
6.
0.718
0.906
1.134
1.440
1.943
2.447
2.612
3.143
3.707
5.208
4.317
4.029
5.959
7
0.711
0.896
1.119
1.415
1.895
2.365
2.517
2.998
3.499
4.785
5.408
8
0.706
0.889
1.108
1.397
1.860
2.306
2.449
2.896
3.355
3.833
4.501
5.041
9.
0.703
0.883
1.100
1.383
1.833
2.262
2.398
2.821
3.250
3.690
4.297
4.781
10
0.700
0.879
1.093
1.372
1.812
2.228
2.359
2.764
3.169
3.581
4.144
4.587
11
0.697
0.876
1.088
1.363
1.796
2.201
2.328
2.718
3.106
3.497
4.025
4.437
12
0.695
0.873
1.083
1.356
1.782
2.179
2.303
2.681
3.055
3.428
3.930
4.318
13
0.694
0.870
1.079
1.350
1.771
2.160
2.282
2.650
3.012
3.372
3.852
4.221
14
0.692
0.868
1.076
1.345
1.761
2.145
2.264
2.624
2.977
3.326
3.787
4.140
15
0.691
0.866
1.074
1.341
1.753
2.131
2.249
2.602
2.947
3.286
3.733
4.073
16
0.690
0.865
1.071
1.337
1.746
2.120
2.235
2.583
2.921
3.252
3.686
4.015
17
0.689
0.863
1.069
1.333
1.740
2.110
2.224
2.567
2.898
3.222
3.646
3.965
18
0.688
0.862
1.067
1.330
1.734
2.101
2.214
2.552
2.878
3.197
3.611
3.922
1.066
1.064
1.729
1.725
19
0.688
0.861
1.328
2.093
2.205
2.539
2.861
3.174
3.579
3.883
20
0.687
0.860
1.325
2.086
2.197
2.528
2.845
3.153
3.552
3.850
1.063
1.323
3.135
3.527
3.505
21
0.686
0.859
1.721
2.080
2.189
2.518
2.831
3.819
0.858
0.858
22
0.686
1.061
1.321
1.717
2.074
2.183
2.508
2.819
3.119
3.792
23
0.685
1.060
1.319
3.485
1.714
1.711
2.069
2.177
2.500
2.807
3.104
3.768
24
0.685
0.857
1.059
1.318
2.064
2.172
2.492
2.797
3.091
3.467
3.745
25
0.684
0.856
1.058
1.316
1.708
2.060
2.167
2.485
2.787
3.078
3.450
3.725
26
0.684
0.856
1.058
1.315
1.706
2.056
2.162
2.479
2.779
3.067
3.435
3.707
27
0.684
0.855
1.057
1.314
1.703
2.052
2.158
2.473
2.771
3.057
3.421
3.690
28
0.683
0.855
1.056
1.313
1.701
2.048
2.154
2.467
2.763
3.047
3.408
3.674
29
0.683
0.854
1.055
1.311
1.699
2.045
2.150
2.462
2.756
3.038
3.396
3.659
30
0.683
0.854
1.055
1.310
1.697
2.042
2.147
2.457
2.750
3.030
3.385
3.646
40
0.681
0.851
1.050
1.303
1.684
2.021
2.123
2.423
2.704
2.971
3.307
3.551
0.679
0.679
50
0.849
1.047
1.299
1.676
2.009
2.109
2.403
2.678
2.937
3.261
3.496
60
0.848
1.045
1.296
1.671
2.000
2.099
2.390
2.660
2.915
3.232
3.460
80
0.678
0.846
1.043
1.292
1.664
1.990
2.088
2.374
2.639
2.887
3.195
3.416
100
0.677
0.845
1.042
1.290
1.660
1.984
2.081
2.364
2.626
2.871
3.174
3.390
1000
0.675
0.842
1.037
1.282
1.646
1.962
2.056
2.330
2.581
2.813
3.098
3.300
0.674
0.841
1.036
1.282
1.645
1.960
2.054
2.326
2.576
2.807
3.091
3.291
One-sided P
.25
.20
.15
.10
.05
.025
.02
.01
.005
.0025
.001
.0005
Two-sided P
.50
.40
.30
.20
.10
.05
.04
.02
.01
.005
.002
.001](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feca1ea77-e837-42ce-8522-46c2685d7321%2Fdb0ad177-8192-419d-a33b-d85bc05929ac%2Fx5mqbi_processed.png&w=3840&q=75)
Transcribed Image Text:TABLES
699
Table entry for C is the critical value
t* required for confidence level C.
To approximate one- and two-sided
P-values, compare the value of the t
Tail area
statistic with the critical values of t*
Area C
that match the P-values given at the
bottom of the table.
t*
TABLE C t distribution critical values
Confidence level C
Degrees of
freedom
50%
60%
70%
80%
90%
95%
96%
98%
99%
99.5%
99.8%
99.9%
1
1.000
1.376
1.963
3.078
6.314
12.71
15.89
31.82
63.66
127.3
318.3
636.6
0.816
1.061
1.386
1.886
2.920
4.303
4.849
6.965
9.925
14.09
22.33
31.60
1.250
7.453
5.598
3
0.765
0.978
1.638
2.353
3.182
3.482
4.541
5.841
10.21
12.92
4
0.741
0.941
1.190
1.533
2.132
2.776
2.999
3.747
4.604
7.173
8.610
0.727
0.920
1.156
1.476
2.015
2.571
2.757
3.365
4.032
4.773
5.893
6.869
6.
0.718
0.906
1.134
1.440
1.943
2.447
2.612
3.143
3.707
5.208
4.317
4.029
5.959
7
0.711
0.896
1.119
1.415
1.895
2.365
2.517
2.998
3.499
4.785
5.408
8
0.706
0.889
1.108
1.397
1.860
2.306
2.449
2.896
3.355
3.833
4.501
5.041
9.
0.703
0.883
1.100
1.383
1.833
2.262
2.398
2.821
3.250
3.690
4.297
4.781
10
0.700
0.879
1.093
1.372
1.812
2.228
2.359
2.764
3.169
3.581
4.144
4.587
11
0.697
0.876
1.088
1.363
1.796
2.201
2.328
2.718
3.106
3.497
4.025
4.437
12
0.695
0.873
1.083
1.356
1.782
2.179
2.303
2.681
3.055
3.428
3.930
4.318
13
0.694
0.870
1.079
1.350
1.771
2.160
2.282
2.650
3.012
3.372
3.852
4.221
14
0.692
0.868
1.076
1.345
1.761
2.145
2.264
2.624
2.977
3.326
3.787
4.140
15
0.691
0.866
1.074
1.341
1.753
2.131
2.249
2.602
2.947
3.286
3.733
4.073
16
0.690
0.865
1.071
1.337
1.746
2.120
2.235
2.583
2.921
3.252
3.686
4.015
17
0.689
0.863
1.069
1.333
1.740
2.110
2.224
2.567
2.898
3.222
3.646
3.965
18
0.688
0.862
1.067
1.330
1.734
2.101
2.214
2.552
2.878
3.197
3.611
3.922
1.066
1.064
1.729
1.725
19
0.688
0.861
1.328
2.093
2.205
2.539
2.861
3.174
3.579
3.883
20
0.687
0.860
1.325
2.086
2.197
2.528
2.845
3.153
3.552
3.850
1.063
1.323
3.135
3.527
3.505
21
0.686
0.859
1.721
2.080
2.189
2.518
2.831
3.819
0.858
0.858
22
0.686
1.061
1.321
1.717
2.074
2.183
2.508
2.819
3.119
3.792
23
0.685
1.060
1.319
3.485
1.714
1.711
2.069
2.177
2.500
2.807
3.104
3.768
24
0.685
0.857
1.059
1.318
2.064
2.172
2.492
2.797
3.091
3.467
3.745
25
0.684
0.856
1.058
1.316
1.708
2.060
2.167
2.485
2.787
3.078
3.450
3.725
26
0.684
0.856
1.058
1.315
1.706
2.056
2.162
2.479
2.779
3.067
3.435
3.707
27
0.684
0.855
1.057
1.314
1.703
2.052
2.158
2.473
2.771
3.057
3.421
3.690
28
0.683
0.855
1.056
1.313
1.701
2.048
2.154
2.467
2.763
3.047
3.408
3.674
29
0.683
0.854
1.055
1.311
1.699
2.045
2.150
2.462
2.756
3.038
3.396
3.659
30
0.683
0.854
1.055
1.310
1.697
2.042
2.147
2.457
2.750
3.030
3.385
3.646
40
0.681
0.851
1.050
1.303
1.684
2.021
2.123
2.423
2.704
2.971
3.307
3.551
0.679
0.679
50
0.849
1.047
1.299
1.676
2.009
2.109
2.403
2.678
2.937
3.261
3.496
60
0.848
1.045
1.296
1.671
2.000
2.099
2.390
2.660
2.915
3.232
3.460
80
0.678
0.846
1.043
1.292
1.664
1.990
2.088
2.374
2.639
2.887
3.195
3.416
100
0.677
0.845
1.042
1.290
1.660
1.984
2.081
2.364
2.626
2.871
3.174
3.390
1000
0.675
0.842
1.037
1.282
1.646
1.962
2.056
2.330
2.581
2.813
3.098
3.300
0.674
0.841
1.036
1.282
1.645
1.960
2.054
2.326
2.576
2.807
3.091
3.291
One-sided P
.25
.20
.15
.10
.05
.025
.02
.01
.005
.0025
.001
.0005
Two-sided P
.50
.40
.30
.20
.10
.05
.04
.02
.01
.005
.002
.001
![You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you
would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three
decimal places.)
critical value:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feca1ea77-e837-42ce-8522-46c2685d7321%2Fdb0ad177-8192-419d-a33b-d85bc05929ac%2Fnr7em5_processed.png&w=3840&q=75)
Transcribed Image Text:You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you
would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three
decimal places.)
critical value:
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