0.485 0.599 0.794 0.989 1.239 1.690 2.167 2.833 3.822 5.493 0.710 0.972 0.857 1.104 1.344 1.647 2.180 2.700 2.733 3.325 3.490 4.594 6.423 1.152 1.450 1.735 2.088 4.168 5.380 7.357 10 1.265 1.479 1.827 2.156 2.558 3.247 3.940 4.865 6.179 8.295 11 1.587 1.834 2.232 2.603 3.053 3.816 4.575 5.578 6.989 9.237 12 1.935 2.214 2.661 3.074 3.571 4.404 5.226 6.304 7.807 10.182 13 2.305 2.617 3.112 3.565 4.107 5.009 5.892 7.041 8.634 11.129 14 2.697 3.041 3.582 4.075 4.660 5.629 6.571 7.790 9.467 12.078 15 3.107 3.483 4.070 4.601 5.229 6.262 7.261 8.547 10.307 13.030 16 3.536 3.942 4.573 5.142 5.812 6.908 7.962 9.312 11.152 13.983 17 3.980 4.416 5.092 5.697 6.408 7.564 8.672 10.085 12.002 14.937 18 4.439 4.905 5.623 6.265 7.015 8.231 9.390 10.865 12.857 15.893 19 4.913 5.407 6.167 6.844 7.633 8.907 10.117 11.651 13.716 16.850 20 5.398 5.921 6.723 7.434 8.260 9.591 10.851 12.443 14.578 17.809 21 5.895 6.447 7.289 8.034 8.897 10.283 11.591 13.240 15.445 18.768 22 6.404 6.983 7.865 8.643 9.542 10.982 12.338 14.041 16.314 19.729 23 6.924 7.529 8.450 9.260 10.196 11.689 13.091 14.848 17.187 20.690 24 7.453 8.085 9.044 9.886 10.856 12.401 13.848 15.659 18.062 21.652 7 001 eG 40 OG 4G 10 590 11 531 12 120 14 611 16 472 18010
0.485 0.599 0.794 0.989 1.239 1.690 2.167 2.833 3.822 5.493 0.710 0.972 0.857 1.104 1.344 1.647 2.180 2.700 2.733 3.325 3.490 4.594 6.423 1.152 1.450 1.735 2.088 4.168 5.380 7.357 10 1.265 1.479 1.827 2.156 2.558 3.247 3.940 4.865 6.179 8.295 11 1.587 1.834 2.232 2.603 3.053 3.816 4.575 5.578 6.989 9.237 12 1.935 2.214 2.661 3.074 3.571 4.404 5.226 6.304 7.807 10.182 13 2.305 2.617 3.112 3.565 4.107 5.009 5.892 7.041 8.634 11.129 14 2.697 3.041 3.582 4.075 4.660 5.629 6.571 7.790 9.467 12.078 15 3.107 3.483 4.070 4.601 5.229 6.262 7.261 8.547 10.307 13.030 16 3.536 3.942 4.573 5.142 5.812 6.908 7.962 9.312 11.152 13.983 17 3.980 4.416 5.092 5.697 6.408 7.564 8.672 10.085 12.002 14.937 18 4.439 4.905 5.623 6.265 7.015 8.231 9.390 10.865 12.857 15.893 19 4.913 5.407 6.167 6.844 7.633 8.907 10.117 11.651 13.716 16.850 20 5.398 5.921 6.723 7.434 8.260 9.591 10.851 12.443 14.578 17.809 21 5.895 6.447 7.289 8.034 8.897 10.283 11.591 13.240 15.445 18.768 22 6.404 6.983 7.865 8.643 9.542 10.982 12.338 14.041 16.314 19.729 23 6.924 7.529 8.450 9.260 10.196 11.689 13.091 14.848 17.187 20.690 24 7.453 8.085 9.044 9.886 10.856 12.401 13.848 15.659 18.062 21.652 7 001 eG 40 OG 4G 10 590 11 531 12 120 14 611 16 472 18010
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
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
Kindly assist
![CHI-SQUARED DISTRIBUTION: One sided critical values, i.e. the value of
xa such that P = Pr[xår > Xa ], where df is the degrees of freedom, for P> 0.5
Xdf
2(P)
Probability Level P
0.975
df
0.9995
0.999
0.9975
0.995
0.99
0.95
0.9
0.8
0.6
1
0.000
0.000
0.000
0.000
0.000
0.001
0.004
0.016
0.064
0.275
0.001
0.015
0.020
0.051
0.103
0.352
0.002
0.005
0.010
0.211
0.446
1.022
3.
0.024
0.045
0.072
0.115
0.216
0.584
1.005
1.869
4
0.064
0.091
0.145
0.207
0.297
0.484
0.711
1.064
1.649
2.753
0.158
0.210
0.307
0.412
0.554
0.831
1.145
1.610
2.343
3.656
0.676
1.237
3.070
3.822
6.
0.299
0.381
0.527
0.872
1.635
2.204
4.570
0.485
0.599
0.794
0.989
1.239
1.690
2.167
2.833
5.493
4.594
5.380
0.710
0.857
1.104
1.344
1.647
2.180
2.733
3.490
6.423
9.
0.972
1.152
1.450
1.735
2.088
2.700
3.325
4.168
7.357
1.265
1.587
10
1.479
1.827
2.156
2.558
3.247
3.940
4.865
6.179
8.295
11
1.834
2.232
2.603
3.053
3.816
4.575
5.578
6.989
9.237
12
1.935
2.214
2.661
3.074
3.571
4.404
5.226
6.304
7.807
10.182
13
2.305
2.617
3.112
3.565
4.107
5.009
5.892
7.041
8.634
11.129
14
2.697
3.041
3.582
4.075
4.660
5.629
6.571
7.790
9.467
12.078
15
3.107
3.483
4.070
4.601
5.229
6.262
7.261
8.547
10.307
13.030
16
3.536
3.942
4.573
5.142
5.812
6.908
7.962
9.312
11.152
13.983
17
3.980
4.416
5.092
5.697
6.408
7.564
8.672
10.085
12.002
14.937
18
4.439
4.905
5.623
6.265
7.015
8.231
9.390
10.865
12.857
15.893
19
4.913
5.407
6.167
6.844
7.633
8.907
10.117
11.651
13.716
16.850
5.398
5.921
8.260
8.897
20
6.723
7.434
9.591
10.851
14.578
15.445
12.443
17.809
21
5.895
6.447
7.289
8.034
10.283
11.591
13.240
18.768
22
6.404
6.983
7.865
8.643
9.542
10.982
12.338
14.041
16.314
19.729
23
6.924
7.529
8.450
9.260
10.196
11.689
13.091
14.848
17.187
20.690
24
7.453
8.085
9.044
9.886
10.856
12.401
13.848
15.659
18.062
21.652
25
7.991
8.649
9.646
10.520
11.524
13.120
14.611
16.473
18.940
22.616
15.379
16.151
23.579
24.544
26
8.537
9.222
10.256
11.160
12.198
13.844
17.292
19.820
20.703
27
9.093
9.803
10.873
11.808
12.878
14.573
18.114
28
9.656
10.391
11.497
12.461
13.565
15.308
16.928
18.939
21.588
25.509
29
10.227
10.986
12.128
13.121
14.256
16.047
17.708
19.768
22.475
26.475
30
10.804
11.588
12.765
13.787
14.953
16.791
18.493
20.599
23.364
27.442
12.196
12.810
31
11.388
13.407
14.458
15.655
17.539
19.281
21.434
24.255
28.409
16.362
17.073
32
11.980
14.055
15.134
18.291
20.072
22.271
25.148
29.376
33
12.576
13.431
14.709
15.815
19.047
20.867
23.110
26.042
30.344
34
13.180
14.057
15.368
16.501
17.789
19.806
21.664
23.952
26.938
31.313
35
13.788
14.688
16.032
17.192
18.509
20.569
22.465
24.797
27.836
32.282
36
14.401
15.324
16.700
17.887
19.233
21.336
23.269
25.643
28.735
33.252
37
15.021
15.965
17.373
18.586
19.960
22.106
24.075
26.492
29.635
34.222
38
15.644
16.611
18.050
19.289
20.691
22.878
24.884
27.343
30.537
35.192
39
16.272
17.261
18.732
19.996
21.426
23.654
25.695
28.196
31.441
36.163
40
16.906
17.917
19.417
20.707
22.164
24.433
26.509
29.051
32.345
37.134
45
20.136
21.251
22.899
24.311
25.901
28.366
30.612
33.350
36.884
41.995
50
23.461
24.674
26.464
27.991
29.707
32.357
34.764
37.689
41.449
46.864
60
30.339
31.738
33.791
35.534
37.485
40.482
43.188
46.459
50.641
56.620
70
37.467
39.036
41.332
43.275
45.442
48.758
51.739
55.329
59.898
66.396
80
44.792
46.520
49.043
51.172
53.540
57.153
60.391
64.278
69.207
76.188
90
52.277
54.156
56.892
59.196
61.754
65.647
69.126
73.291
78.558
85.993
100
59.895
61.918
64.857
67.328
70.065
74.222
77.929
82.358
87.945
95.808
110
67.631
'90
72.922
75.550
78.458
82.867
86.792
91.471
97.362 105.632
83.852
100.655 104.034 109.137 113.659 119.029 125.758 135.149
120
75.465
77.756
81.073
86.923
91.573
95.705 100.624
106.806
115.465
140
91.389
93.925
97.591
160
107.599 110.359
114.350
117.679 121.346
126.870 131.756 137.546 144.783 154.856
180 124.032
127.011
131.305
134.884 138.821
144.741
149.969 156.153
163.868
174.580
200
140.659
143.842
148.426
152.241
156.432
162.728
168.279 174.835
183.003
194.319
7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eb2cf4a-2e60-4cc6-a01e-d5a0b98f77a8%2Ff7d624c9-64e7-421e-8b85-4026009b0a67%2F2dmcp5a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:CHI-SQUARED DISTRIBUTION: One sided critical values, i.e. the value of
xa such that P = Pr[xår > Xa ], where df is the degrees of freedom, for P> 0.5
Xdf
2(P)
Probability Level P
0.975
df
0.9995
0.999
0.9975
0.995
0.99
0.95
0.9
0.8
0.6
1
0.000
0.000
0.000
0.000
0.000
0.001
0.004
0.016
0.064
0.275
0.001
0.015
0.020
0.051
0.103
0.352
0.002
0.005
0.010
0.211
0.446
1.022
3.
0.024
0.045
0.072
0.115
0.216
0.584
1.005
1.869
4
0.064
0.091
0.145
0.207
0.297
0.484
0.711
1.064
1.649
2.753
0.158
0.210
0.307
0.412
0.554
0.831
1.145
1.610
2.343
3.656
0.676
1.237
3.070
3.822
6.
0.299
0.381
0.527
0.872
1.635
2.204
4.570
0.485
0.599
0.794
0.989
1.239
1.690
2.167
2.833
5.493
4.594
5.380
0.710
0.857
1.104
1.344
1.647
2.180
2.733
3.490
6.423
9.
0.972
1.152
1.450
1.735
2.088
2.700
3.325
4.168
7.357
1.265
1.587
10
1.479
1.827
2.156
2.558
3.247
3.940
4.865
6.179
8.295
11
1.834
2.232
2.603
3.053
3.816
4.575
5.578
6.989
9.237
12
1.935
2.214
2.661
3.074
3.571
4.404
5.226
6.304
7.807
10.182
13
2.305
2.617
3.112
3.565
4.107
5.009
5.892
7.041
8.634
11.129
14
2.697
3.041
3.582
4.075
4.660
5.629
6.571
7.790
9.467
12.078
15
3.107
3.483
4.070
4.601
5.229
6.262
7.261
8.547
10.307
13.030
16
3.536
3.942
4.573
5.142
5.812
6.908
7.962
9.312
11.152
13.983
17
3.980
4.416
5.092
5.697
6.408
7.564
8.672
10.085
12.002
14.937
18
4.439
4.905
5.623
6.265
7.015
8.231
9.390
10.865
12.857
15.893
19
4.913
5.407
6.167
6.844
7.633
8.907
10.117
11.651
13.716
16.850
5.398
5.921
8.260
8.897
20
6.723
7.434
9.591
10.851
14.578
15.445
12.443
17.809
21
5.895
6.447
7.289
8.034
10.283
11.591
13.240
18.768
22
6.404
6.983
7.865
8.643
9.542
10.982
12.338
14.041
16.314
19.729
23
6.924
7.529
8.450
9.260
10.196
11.689
13.091
14.848
17.187
20.690
24
7.453
8.085
9.044
9.886
10.856
12.401
13.848
15.659
18.062
21.652
25
7.991
8.649
9.646
10.520
11.524
13.120
14.611
16.473
18.940
22.616
15.379
16.151
23.579
24.544
26
8.537
9.222
10.256
11.160
12.198
13.844
17.292
19.820
20.703
27
9.093
9.803
10.873
11.808
12.878
14.573
18.114
28
9.656
10.391
11.497
12.461
13.565
15.308
16.928
18.939
21.588
25.509
29
10.227
10.986
12.128
13.121
14.256
16.047
17.708
19.768
22.475
26.475
30
10.804
11.588
12.765
13.787
14.953
16.791
18.493
20.599
23.364
27.442
12.196
12.810
31
11.388
13.407
14.458
15.655
17.539
19.281
21.434
24.255
28.409
16.362
17.073
32
11.980
14.055
15.134
18.291
20.072
22.271
25.148
29.376
33
12.576
13.431
14.709
15.815
19.047
20.867
23.110
26.042
30.344
34
13.180
14.057
15.368
16.501
17.789
19.806
21.664
23.952
26.938
31.313
35
13.788
14.688
16.032
17.192
18.509
20.569
22.465
24.797
27.836
32.282
36
14.401
15.324
16.700
17.887
19.233
21.336
23.269
25.643
28.735
33.252
37
15.021
15.965
17.373
18.586
19.960
22.106
24.075
26.492
29.635
34.222
38
15.644
16.611
18.050
19.289
20.691
22.878
24.884
27.343
30.537
35.192
39
16.272
17.261
18.732
19.996
21.426
23.654
25.695
28.196
31.441
36.163
40
16.906
17.917
19.417
20.707
22.164
24.433
26.509
29.051
32.345
37.134
45
20.136
21.251
22.899
24.311
25.901
28.366
30.612
33.350
36.884
41.995
50
23.461
24.674
26.464
27.991
29.707
32.357
34.764
37.689
41.449
46.864
60
30.339
31.738
33.791
35.534
37.485
40.482
43.188
46.459
50.641
56.620
70
37.467
39.036
41.332
43.275
45.442
48.758
51.739
55.329
59.898
66.396
80
44.792
46.520
49.043
51.172
53.540
57.153
60.391
64.278
69.207
76.188
90
52.277
54.156
56.892
59.196
61.754
65.647
69.126
73.291
78.558
85.993
100
59.895
61.918
64.857
67.328
70.065
74.222
77.929
82.358
87.945
95.808
110
67.631
'90
72.922
75.550
78.458
82.867
86.792
91.471
97.362 105.632
83.852
100.655 104.034 109.137 113.659 119.029 125.758 135.149
120
75.465
77.756
81.073
86.923
91.573
95.705 100.624
106.806
115.465
140
91.389
93.925
97.591
160
107.599 110.359
114.350
117.679 121.346
126.870 131.756 137.546 144.783 154.856
180 124.032
127.011
131.305
134.884 138.821
144.741
149.969 156.153
163.868
174.580
200
140.659
143.842
148.426
152.241
156.432
162.728
168.279 174.835
183.003
194.319
7
Transcribed Image Text:Question 5
Inferencial statistics
a) Acme Toy Company prints baseball cards. The company claims that 30% of the cards are Rookies,
60% Veterans but not All-Stars, and 10% are Veteran All-Stars.
Suppose a random sample of 100 cards has 50 Rookies, 45 Veterans, and 5 Veterans All-Stars.
Table 1:
Veterans
Rookies
Veteran All-Star
Observed
50
45
5
Expected
30
60
10
i) Set-up a hypothesis test to test if this information is consistent with the Acme's company claim? Use a
0.05 level of significance.
Hint: Use chisquare goodness of fit test.
ii) Suppose the random sample of 100 cards is said to have a standard deviation of 10.58 %, find a 90 %
confidence interval for the population standard deviation.
b) An analysis of the tries, penalty goals and dropped goals scored by South Africa in rugby tests against
the British Isles, New Zealand, Australia and France gave the following contingency table:
Table 2:
Tries Penalties | Drops
British Isles
70
31
6
New Zealand
Australia
79
44
38
11
31
7
France
43
32
3
The number of penalities scored against New Zealand and France seems unexpectedly high, and this
leads you to want to test the hypothesis that the mode of scoring is dependent on the opponents. At
5% level of significance, can you carry out a test for association?
Hint: Use chisquare test for independence/association.
NB: Make use of the chi-squared distribution table on "Appendix".
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Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman