Assume that both populations are normally distributed. a) Test whether p, > H, at the a = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, - H2. Sample 1 Sample 2 n 21 15 48.6 39.9 5.2 10.8 Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 = H2, H1: H1 < H2 O B. Ho: H1 H2 O C. Ho: H1 > H2, H1 H1 H2 Determine the test statistic. t= (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is The upper critical value is Should the hypothesis be rejected? the null hypothesis because the test statistic V the critical region. b) Construct a 95% confidence interval about u, - H2. The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)
Assume that both populations are normally distributed. a) Test whether p, > H, at the a = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, - H2. Sample 1 Sample 2 n 21 15 48.6 39.9 5.2 10.8 Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 = H2, H1: H1 < H2 O B. Ho: H1 H2 O C. Ho: H1 > H2, H1 H1 H2 Determine the test statistic. t= (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is The upper critical value is Should the hypothesis be rejected? the null hypothesis because the test statistic V the critical region. b) Construct a 95% confidence interval about u, - H2. The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)
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:Student t-Distribution Table
- Area in
Tight tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01 0.005 0.0025
0.001 0.0005
1
2
3
1.000
0.816
0,765
0.741
0.727
1.376 1.963
1.061
1.386
0.978
1.250
0,941
1.190
0.920
1.156
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
4,849
3.482
2.999
2.757
31.821 63.657 127.321 318.309 636.619
14.080
7453
5.598
4.773
6.965
9.925
4.541
5.841
4.604
3.747
3.365 4.032
22.327 31.599
10.215
7173
5.893
12.924
8.610
6.869
4
5
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0,883
0.879 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.
7
1.134
1.119
1.108
1.100
10
0.697
0.695
0.604
0.692
0.691
11
1.363
1.356
1.350
1.345
1.341
4.437
4.318
12
13
14
15
0.876 1.088
0.873 1.083
0.870 1.079
0.868 1.076
0.866 1.074
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
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
3.852
3.787
3.733
4.221
4.140
4.073
2.145
2.131
2.235
2.224
2.214
3.686
3.646
3.610
3.579
3.552
0.865 1.071
0.863
1.337
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
2.921
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
1.069
0.862 1.067
0.861
1.333
1.330
1.328
1.325
2.896
2.878
2.861
2845
3.252
3.222
3.197
3.174
3.153
4.015
3.965
3.922
3.883
3.850
1.066
0.860 1.064
2.205
2.197
2,528
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
1.323
1.321
1.319
1.318
1.316
1.063
1.061
2.080
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2,831
21
22
23
24
25
1.721
1.717
1.714
1.711
1.708
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
3.135
2.819
2,807
1.060
1.059
1.058
2.074
2.069
2.064
3.119
3.104
3.091
3.078
2.797
2.787
1,058
2.060
0.684
0.684
0.683
0.683
0.683
0.856
1.058
1.315
1.314
1.313
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.162
2.479
2.473
2.779
2.771
2.763
2.756
2.750
3.067
26
27
28
29
30
1.057
0.855 1.056
0.854 1.055
0.854 1.055
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
0.855
2.158
2.154
2.150
2.147
2.467
2.462
2.457
3.0S7
3.047
3.038
3.030
1.311
1.310
2.042
31
32
33
34
35
0.682
0.682
0.682
0.682
0.682
0.853 1.054
0.853
1.054
0.853
1.053
0.852
1.052
0.852 1.052
1.309
1.309
1.308
1.307
1.306
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
36
37
38
39
40
0.681
0.681
0.681
0.681
0.681
0.852 1.052
0.851
1.051
0.851
1.051
0.851
1.050
1.050
0.851
1.306
1.305
1.304
1.304
1.688
1.687
1.686
1,685
1.684
2.028
2.026
2.024
2.131
2.129
2.127
2.125
2.434
2.431
2.429
2.426
2.719
2.715
2.712
2.706
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
2.023
2.021
1.303
2.123
2423
2.704
3.551
50
0.679
0.679
0.678
0.678
0.849
0.848
0.847
0,846
0,846
1.047
1.045
1.044
1.043
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.003
2.403
2.390
2.381
2.374
2.368
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.496
3.460
3.435
3.416
3.402
60
70
80
90
2,088
2.084
0677
1.042
1.662
3.183
100
1000
0.677
0.675
0,674
2.871
2,813
2.807
0.845
1.042
1.290
1.282
1.282
1.660
1.646
1,645
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
3.174
3.098
3.090
3,390
3.300
3.291
0.842
1.037
0.842 1.036
Degrees of 0.25
Freedom
0.20 0.15
0.10
0.05
0.025
0.02
0.01 0.005 0.0025
0.001 0.0005
t-Distribution
Area in Right Tail
Print
Done
Transcribed Image Text:Assume that both populations are normally distributed.
a) Test whether H, > H, at the a =0.05 level of significance for the given sample data.
b) Construct a 95% confidence interval about u, - H2-
Sample 1
Sample 2
21
15
48.6
39.9
5.2
10.8
Click the icon to view the Student t-distribution table.
a) Perform a hypothesis test. Determine the null and alternative hypotheses.
O A. Ho: H1 = H2, H1: H1<H2
O B. Ho: H1 < H2, H1: H1> H2
OC. Ho: H1 > H2, H1: H1 < H2
O D. Ho: H1 = H2, H1: H1> H2
Determine the test statistic.
t=
(Round to two decimal places as needed.)
Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice.
(Round to three decimal places as needed.)
O A. The critical value is
O B. The lower critical value is
The upper critical value is
Should the hypothesis be rejected?
V the null hypothesis because the test statistic
the critical region.
b) Construct a 95% confidence interval about u, - H2.
The confidence interval is the range from to .
(Round to two decimal places as needed. Use ascending order.)
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