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 New Zealand 70 31 6. 38 31 44 11 Australia 79 7 France 43 32 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.
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 New Zealand 70 31 6. 38 31 44 11 Australia 79 7 France 43 32 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.
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
Question
Please help with b, concede both tables
Transcribed Image Text: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
France
44
38
11
79
31
7
43
32
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".
![91.952
122.250
6.265
11.0/0
19.729
135.450
111.00
62.135
146.367
68.972
CHI-SQUARED DISTRIBUTION: One sided critical values, i.e. the value of
x) such that P =Pr[x > xP], where df is the degrees of freedom, for P > 0.5
2(P)
Probability LevelP
df
0.9995
0.999
0.9975
0.995
0.99
0.975
0.95
0.9
0.8
0.6
0.000
0.001
0.004
0.103
1
0.000
0.000
0.001
0.016
0.064
0.000
0.000
0.275
0.002
0.024
0.005
0.010
0.020
0.051
0.211
0.446
1.022
015
0.584
0.015
0 064
0.045
0.072
0.216
0.352
1.005
1.869
0.064
0.091
0.145
0.207
0.297
0.484
0.711
1.064
1.649
2.753
0.158
0.210
0307
0.412
0.554
0.831
1.145
1.610
2.343
3.656
6.
0.299
0.381
0.527
0.676
0.872
1.237
1.635
2.204
3.070
4.570
0.485
0.599
0.794
0.989
1.239
1.690
2.167
2.833
3.822
5.493
0.710
0.857
1.152
1.104
1.344
1.647
2.180
2.733
3.325
3.490
4.594
6.423
0.972
1.450
1.735
2.088
2.700
4.168
E 290
5.380
7.357
2.156
2.603
10
1.265
1.479
1.827
2.558
3.247
3.940
4.865
6.179
8.295
Lea
1.834
11
1.587
2.232
3.053
3.816
4.575
5.578
6.989
9.237
5.226
5.892
12
1.935
2.214
2.661
3.074
3.571
4.404
6.304
7.807
10.182
2.305
2.697
4.107
4.660
5.229
5.812
13
2.617
3.112
3.565
5.009
7.041
8.634
11.129
14
3.041
3.582
4.075
5.629
6.571
7.790
9.467
12.078
15
3.107
3.483
4.070
4.601
6.262
7.261
8.547
10.307
13.030
16
3.536
3.942
7.962
9.312
11.152
4.573
5.092
5.142
6.908
13.983
17
3.980
5.697
7.564
14.937
8.672
9 300
10.085
10.865
1 651
12.002
4.416
4 905
6.408
18
4.439
4.439
4.905
5.623
5.623
7.015
8.231
9.390
12.857
15.893
6 167
19
4.913
5.407
6.167
6.814
7.633
8.907
10.117
11.651
13.716
16.850
5.309
10.851
11.591
20
5.398
5.921
6.723
7.434
8.260
9.591
12.443
14.578
17.809
5.895
S 034
10.283
21
6.447
7.289
8.034
8.897
13.240
15.445
18.768
6.404
6.404
7 865
S 613
9.542
6.983
7.865
8.643
10.982
12.338
14.041
16.314
S 450
8.450
0 260
14.848
15.659
20.690
21.652
6.024
6.924
7.529
9.260
10.196
11.689
13.001
13.091
17.187
12.401
13.120
7.453
8.085
9.044
9.886
10.856
13.848
18.062
22.616
23.579
7.991
8.649
9.646
10.520
11.524
14.611
16.473
18.940
8.537
9.222
10.256
11.160
12.198
13.844
15.379
17.292
18.114
19.820
20.703
14.573
15.308
9.093
9.803
10.873
11.808
12.878
16.151
24.544
9.656
10.391
11.497
12.461
13.565
16.928
18.939
21.588
25.509
26.475
27.442
10.227
10.986
12.128
13.121
14.256
16.047
17.708
19.768
22.475
30
10.804
11.588
12.765
13.787
14.953
16.791
18.493
20.599
23.364
13.407
14.055
14.709
15.655
16.362
17.539
18.291
21.434
22.271
24.255
25.148
26.042
26.938
27.836
28.409
29.376
30.344
31.313
11.388
12.196
14.458
11.980
12.576
15.134
15.815
19.281
20.072
20.867
12.810
13.431
17.073
19.047
23.110
16.501
17.192
19.806
20.569
21.664
22.465
13.180
14.057
15.368
17.789
23.952
32.282
33.252
13.788
14.688
16.032
18.509
24.797
15.324
15.965
16.611
17.261
17.887
18.586
19.289
19.996
20.707
19.233
19.960
21.336
22.106
23.269
24.075
25.643
26.492
28.735
29.635
30.537
14.401
16.700
15.021
15.644
16.272
16.906
17.373
18.050
18.732
19.417
24.884
25.695
26.509
34.222
35. 192
36. 163
37.134
20.691
22.878
23.654
24.433
27.343
28.196
39
21.426
31.441
22.164
25.901
29.051
33.350
40
17.917
32.345
45
20.136
21.251
22.899
24.311
28.366
30.612
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
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
78.58
85.993
64.857
72.922
74.222
82.867
100
59.895
61.918
67.328
70.065
77.929
82.358
87.945
95.808
110
67.631
69.790
75.550
78.458
86.792
91.471
97.362
105.632
13.300
83.852
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
100.655
104.034
109.137
113.659
119.029
125.758 135.149
160 107.599 110.350
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
continued. CHI-SQUARED DISTRIBUTION: One sided critical values, i.e.
2(P)
such that P = Pr[xår > Xa"], where df is the degrees of freedom,
2(P)
the value of
Xaj
for P< 0.5
Probability Level P
0.025
5.024
7.378
0.0025
9.140
11.983
df
0.06
0.005
7.879
10.597
0.4
0.0005
0.2
1.642
3.219
0.1
0.01
0.001
0.708
2.706
3.841
6.635
10.827
12.115
1.833
4.605
5.991
9.210
13.815
15.201
2946
4.045
5.132
6.211
7.283
8.351
6.251
7.779
9.236
10.645
12.017
13.362
12.838
14.860
16.750
18.548
20.278
4.642
5.989
7.289
7.815
11.345
13.277
15.086
16.812
18.475
17.731
19.998
22.106
9.348
14.320
16.266
16.424
18.385
20.249
22.040
21774
18.466
20.515
9.488
11.143
12.832
14.449
24.102
26.018
27.867
8.558
12.502
22.457
9.803
14.067
16.013
17.535
24.321
11.030
15.507
20.090
21.955
26.124
12.242
13.442
14.631
14.684
15.987
17.275
18.549
19.023
20.483
21.920
25.463
29.667
31.419
33.138
34.821
36.477
9.414
16.919
21.666
23.589
27.877
10.473
11.530
12.584
13.636
14.685
15.733
27.112
1.112
28.729
10
18.307
23.209
25.188
29.588
26.757
20.191
28.300
19.675
24.725
26.217
31.264
15.812
16.985
18.151
21.026
22.362
23.685
24.996
30.318
31.883
33.426
34.949
23.337
32.909
19.812
24.736
26.119
27.488
27.688
29.819
34.527
21.064
29.141
31.319
36.124
38.109
19.311
22.307
30.578
32.801
37.698
39.717
36.456
37.946
20. 123
23.542
32.000
34.267
35.718
37.156
38.582
20 007
28.845
39.252
40.791
16.780
20.465
26.296
41.308
17.824
18.868
19.910
21.615
22.760
23.900
25.0
17
24.769
27.587
30.191
33.409
42.881
31.526
32.852
34.170
35.479
39.422
40.885
18
25.989
28.869
34.805
42.312
44.434
19
45.974
27.204
28.412
29.615
30.144
36.191
43.819
20
20.951
25.038
31.410
37.566
39.997
42.336
45.314
47.498
21.003
21.992
26.171
29 022
38.932
43.775
49.010
21
32.671
41.401
46.796
27.301
28.429
33.924
35.172
45.204
46.623
50.510
51.999
53.478
54.948
23.031
24.069
22
30.813
36.781
40.289
42.796
48.268
23
32.007
38.076
41.638
44.181
49.728
36.415
37.652
38.885
25.106
29.553
33.196
39.364
42.980
45.558
48.034
51.179
40.646
41.923
12 105
26.143
30.675
34.382
35.563
36.741
44.314
49.435
52.619
54.051
55.475
46.928
27.179
31.796
45.642
48.290
50.829
56.407
28.214
32.912
40.113
43.195
46.963
49.645
52.215
57.856
29.249
30.283
31.316
53.594
54.966
56.892
58.301
59.299
60.734
34.027
37.916
41.337
44.461
48.278
50.994
29
35.139
39.087
42.557
45.722
49.588
52.335
53.672
55.002
30
36.250
40.256
43.773
46.979
62.160
50.892
52.191
56.332
57.692
59.046
59.702
31
32.349
37.359
41.422
44.985
48.232
61.098
63.581
32
33.381
38.466
42.585
46.194
49.480
53.486
56.328
62.487
64.993
33
34.413
39.572
43.745
47.400
50.725
54.775
57.648
60.395
63.869
66.401
61.738
63.076
64.410
67.804
69.197
70.588
34
35.444
40.676
65.247
44.903
46.059
47.212
48.602
51.966
56.061
58.964
35
36.475
41.778
49.802
53.203
57342
60.275
66.619
67.985
69.348
36
37.505
42.879
50.998
54.437
58.619
61.581
71.971
73.350
38.535
43.978
48.363
52.192
53.384
55.668
59.893
62.883
65.738
39.564
45.076
49.513
56.895
67.063
70.704
61.162
62.428
64.181
74.724
76.096
39
40.593
46.173
50.660
54.572
58.120
65.475
68.383
72.055
69.699
76.223
40
41.622
47.269
51.805
55.758
59.342
63.691
66.766
73.403
69.957
76.154
88.379
82.873
89.560
102.697
45
46.761
52.729
57.505
61.656
65.410
73.166
80.078
50
51.892
58.164
63.167
67.505
71.420
83.298
96.023
79.490
82.664
86.660
60
74.397
79.082
95.344
99.608
79.715
90.406
70
72.358
85.527
90.31
100.425 104.215 107.808
112.317
115.577
80
82.566
96.578
101.879
106.629 112.329 116.321
120.102 124.839
128.264
90
92.761
101.054
107.565
113.145
118.136 124116 128.299
132 255
137.208
140.780
100
102946
118.498
124.342
129.561
135.807
140.170 144.292 149.449 153.164
140.916 147414 151.948 156.230 161.582 165.436
110 113.121
120 123.289
140 143.604 153.854 161.827
160 163.898
180 184.173
200 204.434 216.609
129.385
132.806
140.233
163.648 168.081 173.618 177.601
197.450 201.680
190.516 196.915 204.530 209.824 214.808 221.020 225.477
152.211 158.950
168.613 174.648 181.841 186.847
191.565
174.828 183.311
195.743 201.704 212.304 219.044 227.056 232.620 237.855 244.372 249.049
226.021 233.994 241.058 249.445 255.264
260.735 267.539 272.422](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eb2cf4a-2e60-4cc6-a01e-d5a0b98f77a8%2F9e8f6783-4034-4293-b7b5-a05755433ee1%2Fvnemled_processed.jpeg&w=3840&q=75)
Transcribed Image Text:91.952
122.250
6.265
11.0/0
19.729
135.450
111.00
62.135
146.367
68.972
CHI-SQUARED DISTRIBUTION: One sided critical values, i.e. the value of
x) such that P =Pr[x > xP], where df is the degrees of freedom, for P > 0.5
2(P)
Probability LevelP
df
0.9995
0.999
0.9975
0.995
0.99
0.975
0.95
0.9
0.8
0.6
0.000
0.001
0.004
0.103
1
0.000
0.000
0.001
0.016
0.064
0.000
0.000
0.275
0.002
0.024
0.005
0.010
0.020
0.051
0.211
0.446
1.022
015
0.584
0.015
0 064
0.045
0.072
0.216
0.352
1.005
1.869
0.064
0.091
0.145
0.207
0.297
0.484
0.711
1.064
1.649
2.753
0.158
0.210
0307
0.412
0.554
0.831
1.145
1.610
2.343
3.656
6.
0.299
0.381
0.527
0.676
0.872
1.237
1.635
2.204
3.070
4.570
0.485
0.599
0.794
0.989
1.239
1.690
2.167
2.833
3.822
5.493
0.710
0.857
1.152
1.104
1.344
1.647
2.180
2.733
3.325
3.490
4.594
6.423
0.972
1.450
1.735
2.088
2.700
4.168
E 290
5.380
7.357
2.156
2.603
10
1.265
1.479
1.827
2.558
3.247
3.940
4.865
6.179
8.295
Lea
1.834
11
1.587
2.232
3.053
3.816
4.575
5.578
6.989
9.237
5.226
5.892
12
1.935
2.214
2.661
3.074
3.571
4.404
6.304
7.807
10.182
2.305
2.697
4.107
4.660
5.229
5.812
13
2.617
3.112
3.565
5.009
7.041
8.634
11.129
14
3.041
3.582
4.075
5.629
6.571
7.790
9.467
12.078
15
3.107
3.483
4.070
4.601
6.262
7.261
8.547
10.307
13.030
16
3.536
3.942
7.962
9.312
11.152
4.573
5.092
5.142
6.908
13.983
17
3.980
5.697
7.564
14.937
8.672
9 300
10.085
10.865
1 651
12.002
4.416
4 905
6.408
18
4.439
4.439
4.905
5.623
5.623
7.015
8.231
9.390
12.857
15.893
6 167
19
4.913
5.407
6.167
6.814
7.633
8.907
10.117
11.651
13.716
16.850
5.309
10.851
11.591
20
5.398
5.921
6.723
7.434
8.260
9.591
12.443
14.578
17.809
5.895
S 034
10.283
21
6.447
7.289
8.034
8.897
13.240
15.445
18.768
6.404
6.404
7 865
S 613
9.542
6.983
7.865
8.643
10.982
12.338
14.041
16.314
S 450
8.450
0 260
14.848
15.659
20.690
21.652
6.024
6.924
7.529
9.260
10.196
11.689
13.001
13.091
17.187
12.401
13.120
7.453
8.085
9.044
9.886
10.856
13.848
18.062
22.616
23.579
7.991
8.649
9.646
10.520
11.524
14.611
16.473
18.940
8.537
9.222
10.256
11.160
12.198
13.844
15.379
17.292
18.114
19.820
20.703
14.573
15.308
9.093
9.803
10.873
11.808
12.878
16.151
24.544
9.656
10.391
11.497
12.461
13.565
16.928
18.939
21.588
25.509
26.475
27.442
10.227
10.986
12.128
13.121
14.256
16.047
17.708
19.768
22.475
30
10.804
11.588
12.765
13.787
14.953
16.791
18.493
20.599
23.364
13.407
14.055
14.709
15.655
16.362
17.539
18.291
21.434
22.271
24.255
25.148
26.042
26.938
27.836
28.409
29.376
30.344
31.313
11.388
12.196
14.458
11.980
12.576
15.134
15.815
19.281
20.072
20.867
12.810
13.431
17.073
19.047
23.110
16.501
17.192
19.806
20.569
21.664
22.465
13.180
14.057
15.368
17.789
23.952
32.282
33.252
13.788
14.688
16.032
18.509
24.797
15.324
15.965
16.611
17.261
17.887
18.586
19.289
19.996
20.707
19.233
19.960
21.336
22.106
23.269
24.075
25.643
26.492
28.735
29.635
30.537
14.401
16.700
15.021
15.644
16.272
16.906
17.373
18.050
18.732
19.417
24.884
25.695
26.509
34.222
35. 192
36. 163
37.134
20.691
22.878
23.654
24.433
27.343
28.196
39
21.426
31.441
22.164
25.901
29.051
33.350
40
17.917
32.345
45
20.136
21.251
22.899
24.311
28.366
30.612
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
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
78.58
85.993
64.857
72.922
74.222
82.867
100
59.895
61.918
67.328
70.065
77.929
82.358
87.945
95.808
110
67.631
69.790
75.550
78.458
86.792
91.471
97.362
105.632
13.300
83.852
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
100.655
104.034
109.137
113.659
119.029
125.758 135.149
160 107.599 110.350
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
continued. CHI-SQUARED DISTRIBUTION: One sided critical values, i.e.
2(P)
such that P = Pr[xår > Xa"], where df is the degrees of freedom,
2(P)
the value of
Xaj
for P< 0.5
Probability Level P
0.025
5.024
7.378
0.0025
9.140
11.983
df
0.06
0.005
7.879
10.597
0.4
0.0005
0.2
1.642
3.219
0.1
0.01
0.001
0.708
2.706
3.841
6.635
10.827
12.115
1.833
4.605
5.991
9.210
13.815
15.201
2946
4.045
5.132
6.211
7.283
8.351
6.251
7.779
9.236
10.645
12.017
13.362
12.838
14.860
16.750
18.548
20.278
4.642
5.989
7.289
7.815
11.345
13.277
15.086
16.812
18.475
17.731
19.998
22.106
9.348
14.320
16.266
16.424
18.385
20.249
22.040
21774
18.466
20.515
9.488
11.143
12.832
14.449
24.102
26.018
27.867
8.558
12.502
22.457
9.803
14.067
16.013
17.535
24.321
11.030
15.507
20.090
21.955
26.124
12.242
13.442
14.631
14.684
15.987
17.275
18.549
19.023
20.483
21.920
25.463
29.667
31.419
33.138
34.821
36.477
9.414
16.919
21.666
23.589
27.877
10.473
11.530
12.584
13.636
14.685
15.733
27.112
1.112
28.729
10
18.307
23.209
25.188
29.588
26.757
20.191
28.300
19.675
24.725
26.217
31.264
15.812
16.985
18.151
21.026
22.362
23.685
24.996
30.318
31.883
33.426
34.949
23.337
32.909
19.812
24.736
26.119
27.488
27.688
29.819
34.527
21.064
29.141
31.319
36.124
38.109
19.311
22.307
30.578
32.801
37.698
39.717
36.456
37.946
20. 123
23.542
32.000
34.267
35.718
37.156
38.582
20 007
28.845
39.252
40.791
16.780
20.465
26.296
41.308
17.824
18.868
19.910
21.615
22.760
23.900
25.0
17
24.769
27.587
30.191
33.409
42.881
31.526
32.852
34.170
35.479
39.422
40.885
18
25.989
28.869
34.805
42.312
44.434
19
45.974
27.204
28.412
29.615
30.144
36.191
43.819
20
20.951
25.038
31.410
37.566
39.997
42.336
45.314
47.498
21.003
21.992
26.171
29 022
38.932
43.775
49.010
21
32.671
41.401
46.796
27.301
28.429
33.924
35.172
45.204
46.623
50.510
51.999
53.478
54.948
23.031
24.069
22
30.813
36.781
40.289
42.796
48.268
23
32.007
38.076
41.638
44.181
49.728
36.415
37.652
38.885
25.106
29.553
33.196
39.364
42.980
45.558
48.034
51.179
40.646
41.923
12 105
26.143
30.675
34.382
35.563
36.741
44.314
49.435
52.619
54.051
55.475
46.928
27.179
31.796
45.642
48.290
50.829
56.407
28.214
32.912
40.113
43.195
46.963
49.645
52.215
57.856
29.249
30.283
31.316
53.594
54.966
56.892
58.301
59.299
60.734
34.027
37.916
41.337
44.461
48.278
50.994
29
35.139
39.087
42.557
45.722
49.588
52.335
53.672
55.002
30
36.250
40.256
43.773
46.979
62.160
50.892
52.191
56.332
57.692
59.046
59.702
31
32.349
37.359
41.422
44.985
48.232
61.098
63.581
32
33.381
38.466
42.585
46.194
49.480
53.486
56.328
62.487
64.993
33
34.413
39.572
43.745
47.400
50.725
54.775
57.648
60.395
63.869
66.401
61.738
63.076
64.410
67.804
69.197
70.588
34
35.444
40.676
65.247
44.903
46.059
47.212
48.602
51.966
56.061
58.964
35
36.475
41.778
49.802
53.203
57342
60.275
66.619
67.985
69.348
36
37.505
42.879
50.998
54.437
58.619
61.581
71.971
73.350
38.535
43.978
48.363
52.192
53.384
55.668
59.893
62.883
65.738
39.564
45.076
49.513
56.895
67.063
70.704
61.162
62.428
64.181
74.724
76.096
39
40.593
46.173
50.660
54.572
58.120
65.475
68.383
72.055
69.699
76.223
40
41.622
47.269
51.805
55.758
59.342
63.691
66.766
73.403
69.957
76.154
88.379
82.873
89.560
102.697
45
46.761
52.729
57.505
61.656
65.410
73.166
80.078
50
51.892
58.164
63.167
67.505
71.420
83.298
96.023
79.490
82.664
86.660
60
74.397
79.082
95.344
99.608
79.715
90.406
70
72.358
85.527
90.31
100.425 104.215 107.808
112.317
115.577
80
82.566
96.578
101.879
106.629 112.329 116.321
120.102 124.839
128.264
90
92.761
101.054
107.565
113.145
118.136 124116 128.299
132 255
137.208
140.780
100
102946
118.498
124.342
129.561
135.807
140.170 144.292 149.449 153.164
140.916 147414 151.948 156.230 161.582 165.436
110 113.121
120 123.289
140 143.604 153.854 161.827
160 163.898
180 184.173
200 204.434 216.609
129.385
132.806
140.233
163.648 168.081 173.618 177.601
197.450 201.680
190.516 196.915 204.530 209.824 214.808 221.020 225.477
152.211 158.950
168.613 174.648 181.841 186.847
191.565
174.828 183.311
195.743 201.704 212.304 219.044 227.056 232.620 237.855 244.372 249.049
226.021 233.994 241.058 249.445 255.264
260.735 267.539 272.422
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