MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Solve the following proportion hypothesis:
Give: Ho: p ≤ 0.6
H1: p > 0.6
A binomial distribution can be approximated with thenormal distribution , so use a
z-score for α=0.05.
Test the above hypothesis is a random sample of 250 users has 210 successes.
Solution: [Write rules/formula]
Calculate p̄ :
Calculate Zp :
Find Zα :
Compare Zp and Zα :
Conclusion:
-Suppose we fail to reject Ho: μ ≥ 50 When the true mean is μ = 53
Given a sample of size n=64 and σ =6 and with α=0.05
Calculate the critical sample mean Xα , the ZX̅α , The probability of type II error β
and the power of the hypothesis test P.
Solution: [Write the rules/formula]
Calculate X̅α :
Calculate ZX̅α with the true mean μ = 53:
The probability of type II error β:
The power of the hypothesis test P:
Give: Ho: p ≤ 0.6
H1: p > 0.6
A binomial distribution can be approximated with the
z-score for α=0.05.
Test the above hypothesis is a random sample of 250 users has 210 successes.
Solution: [Write rules/formula]
Calculate p̄ :
Calculate Zp :
Find Zα :
Compare Zp and Zα :
Conclusion:
-Suppose we fail to reject Ho: μ ≥ 50 When the true mean is μ = 53
Given a sample of size n=64 and σ =6 and with α=0.05
Calculate the critical sample mean Xα , the ZX̅α , The probability of type II error β
and the power of the hypothesis test P.
Solution: [Write the rules/formula]
Calculate X̅α :
Calculate ZX̅α with the true mean μ = 53:
The probability of type II error β:
The power of the hypothesis test P:
Transcribed Image Text:Table-1: Positive z-table
NNNNNNNNNNŇ Š Š Š Šm
2345678901234
8849 8869
7734 7764
9505 9515
9931 9932
9961
9854
Table-3: Negative z-table
00010
00007
00005
.00003
34090 33724
23576 23270
20611 20327
17879 17619
15625 15300
00002
00240 .00233
00175 00169
00120 NOT
00064 00062
00045
00043
.00032
.00031 .00030
.00022
.00022 00021
00015 .00015 .00014
00007
00003 .00003
00006
00003
0.05
32636 32270
19766 19489
17106 16853
14457
14917 .14686
00006
00004
00003
131901
18943
.16354
.14007
.00025
.00017
00005
00003
.00002
00003
00002
Transcribed Image Text:Table-5: t-Table One Tale
DF
00
2
3
........
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
* * * * * * * * * *
1000
A = 0.1
ta - 1.282
3.078
1.886
1.638
1.533
1.476
1-44
1.415
1.397
1.383
1.372
Baye
1.363
1.303
1.356
1.35
1.345
Tom
1.341
comm
1.337
1.333
1.33
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.31
1.296
1.289
1.282
0.05
1.645
6.314
2.92
2.353
2.132
2.015
1.943
1.895
1.86
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1016
1.746
1.74
1.734
1.729
1.725
P
1.721
1.717
B
1714
1.711
com
1.708
1.706
1.703
1.701
1.699
1.697
1.671
1.658
1.646
0.025
1.96
12.706
4.303
3.182
2.776
B
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2:201
2.179
2.16
2.145
2.131
0.10
2.12
2.11
2.101
2.093
2.086
2.08
2.074
2.069
2.064
0.06
2.06
2.056
2.052
2.048
2.045
2.042
2
1.98
1.962
0.01
2.326
31.821
6.965
4-541
3-747
3.365
3.143
2.998
2,896
2.821
2.764
2:709
2.718
2:718
2.681
2.65
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.5
2.492
2.485
2.479
2.473
2.467
2.462
2-457
2.39
2.358
2.33
0.005
2.576
63.656
9.925
5.841
4.604
4.032
3.707
3-499
3-355
3.25
3.169
3.106
3.100
3.055
3.012
2.om
2.977
2.947
2.921
...
2.898
..
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.75
2.66
2.617
2.581
0.001
3.091
318.289
22.328
10.214
7.173
5.894
5.208
4-785
4-501
4.297
4.144
40094
4.025
4:025
3.93
3.852
9787
3-787
3.733
3.686
3.646
261
3.61
3-579
3-552
3-527
3-505
3-485
3.467
3-45
3-435
3-421
3.408
3.396
3.385
3.232
3.16
3.098
0.0005
3.291
636.578
31.6
12.924
8.61
6.869
5-959
5-408
5.041
4.781
4-587
4-437
4-437
4-318
4:221
.....
4-14
4.073
com
4.015
3.965
3.922
3.883
3.85
3.819
3-792
3.768
3.745
..
3.725
3.707
3.689
3.674
3.66
3.646
3-46
3-373
3-3
Table-5: t-Table Two Tail
DF
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
60
120
8
A = 0.2
ta - 1.282
3.078
1.886
1.638
1.533
1.476
1.415
1.397
1.383
1.372
1.363
1.356
1.35
1.345
1.341
1:341
1.337
1.333
100
1.33
1008
1.328
Loor
1.325
1.323
1.321
1.319
1.318
1.316
1.215
1.315
101
1.314
1.313
1.311
1.31
1.296
1.289
1.282
0.1
1.645
6.314
2.92
2.259
2-353
2 192
2.132
2.015
1.943
1.895
1.86
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1:753
1.746
1.74
1724
1.734
1.729
1.725
...
1.721
1.717
1.714
1.711
1.708
1.706
1709
1.703
1.701
1.699
1.697
1.671
1.658
1.645
0.05
1.96
t
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.16
2.145
B
2.131
ange
2.12
2.11
2:11
2.101
2.093
2.086
2.00
2.08
2.074
2.069
2.064
2.06
2.056
2052
2.052
2018
2.048
2.045
2.042
2
1.98
1.96
0.02
2.326
31.821
6.965
4-541
3-747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.65
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.5
2.492
2.485
2.470
2-479
2.473
2.467
2.462
2-457
2.39
2.358
2.326
0.01
2.576
63.656
9.925
5.841
+601
4.604
4.032
3.707
Ba
3-499
3.355
3.25
3.169
3.106
3.055
3.012
2.977
com
2.947
2.921
2.898
2.878
2.861
08.
2.845
2.831
2.819
2.807
2.797
2.787
200
2.779
Am
2.771
anta
2.763
2.756
2.75
2.66
2.617
2.576
0.002
3.091
318.289
22.328
10.214
7.173
5.894
....
M
5.208
4-785
4-501
4.297
4.144
4.025
3.93
3.852
3-787
syy
3.733
3.686
3.646
3.61
3-579
3-552
3-527
3-505
3.485
3.467
3.45
3.45
2.425
3-435
0401
3-421
3-408
3.396
3.385
3.232
3.16
3.091
0.001
3.291
636.578
31.6
12.924
8.61
6060
6.869
..com
5.959
5-408
5.041
B
4.781
4-587
4-437
4-318
4.221
4-14
4.073
4.015
3.965
3.922
3.883
a sc
3.85
0 810
3.819
3-792
3.768
3.745
3.725
3-707
2 680
3.689
3.674
2.66
3.66
3.646
3-46
3-373
3.291
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