Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.004 inch. Determine whether these randomly selected golf balls conform to this requirement at the a = 0.05 level of significance. Assume that the population is normally distributed. 1.682 1.679 1.677 1.683 1.678 1.682 1.679 1.679 1.681 E Click the icon to view the chi-square distribution table. 1.682 1.681 1.681 What are the correct hypotheses for this test? Họ: versus H,: (Type integers or decimals. Do not round.)

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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Question
Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.004 inch.
Determine whether these randomly selected golf balls conform to this requirement at the a = 0.05 level of significance. Assume that the
population is normally distributed.
1.682
1.679
1.677
1.683
1.678
1.682
1.679
1.679
1.681
Click the icon to view the chi-square distribution table.
1.682
1.681
1.681
What are the correct hypotheses for this test?
Ho:
versus H,:
(Type integers or decimals. Do not round.)
Transcribed Image Text:Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.004 inch. Determine whether these randomly selected golf balls conform to this requirement at the a = 0.05 level of significance. Assume that the population is normally distributed. 1.682 1.679 1.677 1.683 1.678 1.682 1.679 1.679 1.681 Click the icon to view the chi-square distribution table. 1.682 1.681 1.681 What are the correct hypotheses for this test? Ho: versus H,: (Type integers or decimals. Do not round.)
Chi-square distribution table
Chi-Square (x) Distribution
Areato the Right of Critical Vahue
Degrees of
Freedom
0.995
0.99
0975
095
0.90
010
0.05
0.025
0.01
0.005
0.016
2.706
4.605
6.251
1
0.001
0.004
3.841
5.024
6.635
7879
0.061
0.216
10.597
0020
0.115
0297
న4
5991
7815
2
0.010
0.103
0.211
7.378
9.210
0.352
0.711
1.145
0.584
1.064
1.610
11.345
13.277
15.086
9.348
12.838
14.860
16.750
3
0.072
4
0.207
0.484
7.779
9488
11.143
0.412
0.831
9.236
11.070
12.833
0.676
1.635
2.167
10.645
12.592
14.067
15.507
16.919
14.449
16.013
17535
16.812
18.475
18.548
2.204
2.833
3.490
4.168
4.866
6.
0.872
1.237
1.690
7
0.989
1.239
12.017
20278
13.362
14.684
15.987
21.955
23589
25188
1.344
1.646
2.180
2.733
20.090
1.735
2.156
2.700
3.247
21.666
23 209
2.088
3.325
19.023
10
2.558
3.940
18.307
20.483
3.816
4.404
5.009
5.629
6.262
19.675
21.026
22.362
23.685
24.996
24.725
26 217
27688
26.757
28.300
29.819
2603
3.053
3.571
4.107
4.575
5.226
5.892
6.571
7261
5.578
6.304
7042
17275
18.549
19.812
11
21.920
23.337
12
13
3.074
నరక
4.075
4.601
24.736
26.119
27.488
4.660
5.229
21.064
29.141
30578
31.319
32.801
14
7.790
8.547
15
22.307
5.812
6.408
7015
7633
8.260
5142
5.697
6.265
6.844
7962
8.672
26.296
27587
28.869
6.908
7564
23.542
24.769
25.989
34.267
35.718
37156
38.582
16
9.312
28.845
32.000
10.085
10.865
11.651
17
30.191
33.409
31.526
32.852
34.170
34.805
36.191
37566
18
8.231
9.390
10.117
10.851
19
8.907
27204
30.144
20
7434
9.591
12.443
28.412
31.410
39.997
29.615
32.671
8.034
8.643
9.260
9.886
10.520
8.897
9.542
10.196
10856
11.524
11.591
12.338
13.091
35.479
36.781
38.076
39.364
40.646
41.401
42.796
21
10.283
13.240
38.932
14.041
14.848
15.659
16.473
40.289
41638
22
10.982
30.813
11.689
12.401
13.120
33.924
35.172
36.415
37652
32.007
33.196
23
44.181
42980
44.314
45.559
46.928
24
13.848
25
14.611
34.382
11.160
15.379
16.151
16.928
35.563
36.741
37.916
39.087
40.256
45.642
46.963
38.885
40.113
26
12.198
13.844
17.292
48.290
14.573
15.308
16.047
16.791
41.923
43.195
44.461
45.722
46.979
49645
50993
52.336
53672
27
11808
12879
18.114
13.565
14.256
14.953
28
12.461
18.939
41.337
19.768
20.599
48.278
49.588
50.892
42557
29
30
13.121
13.787
17.708
18.493
43.773
51.805
63.167
22.164
55.758
67505
66.766
26.509
34 764
29.051
37689
59.342
71 420
63691
76154
40
20.707
24.433
32.357
50
27991
29 07
79 490
Transcribed Image Text:Chi-square distribution table Chi-Square (x) Distribution Areato the Right of Critical Vahue Degrees of Freedom 0.995 0.99 0975 095 0.90 010 0.05 0.025 0.01 0.005 0.016 2.706 4.605 6.251 1 0.001 0.004 3.841 5.024 6.635 7879 0.061 0.216 10.597 0020 0.115 0297 న4 5991 7815 2 0.010 0.103 0.211 7.378 9.210 0.352 0.711 1.145 0.584 1.064 1.610 11.345 13.277 15.086 9.348 12.838 14.860 16.750 3 0.072 4 0.207 0.484 7.779 9488 11.143 0.412 0.831 9.236 11.070 12.833 0.676 1.635 2.167 10.645 12.592 14.067 15.507 16.919 14.449 16.013 17535 16.812 18.475 18.548 2.204 2.833 3.490 4.168 4.866 6. 0.872 1.237 1.690 7 0.989 1.239 12.017 20278 13.362 14.684 15.987 21.955 23589 25188 1.344 1.646 2.180 2.733 20.090 1.735 2.156 2.700 3.247 21.666 23 209 2.088 3.325 19.023 10 2.558 3.940 18.307 20.483 3.816 4.404 5.009 5.629 6.262 19.675 21.026 22.362 23.685 24.996 24.725 26 217 27688 26.757 28.300 29.819 2603 3.053 3.571 4.107 4.575 5.226 5.892 6.571 7261 5.578 6.304 7042 17275 18.549 19.812 11 21.920 23.337 12 13 3.074 నరక 4.075 4.601 24.736 26.119 27.488 4.660 5.229 21.064 29.141 30578 31.319 32.801 14 7.790 8.547 15 22.307 5.812 6.408 7015 7633 8.260 5142 5.697 6.265 6.844 7962 8.672 26.296 27587 28.869 6.908 7564 23.542 24.769 25.989 34.267 35.718 37156 38.582 16 9.312 28.845 32.000 10.085 10.865 11.651 17 30.191 33.409 31.526 32.852 34.170 34.805 36.191 37566 18 8.231 9.390 10.117 10.851 19 8.907 27204 30.144 20 7434 9.591 12.443 28.412 31.410 39.997 29.615 32.671 8.034 8.643 9.260 9.886 10.520 8.897 9.542 10.196 10856 11.524 11.591 12.338 13.091 35.479 36.781 38.076 39.364 40.646 41.401 42.796 21 10.283 13.240 38.932 14.041 14.848 15.659 16.473 40.289 41638 22 10.982 30.813 11.689 12.401 13.120 33.924 35.172 36.415 37652 32.007 33.196 23 44.181 42980 44.314 45.559 46.928 24 13.848 25 14.611 34.382 11.160 15.379 16.151 16.928 35.563 36.741 37.916 39.087 40.256 45.642 46.963 38.885 40.113 26 12.198 13.844 17.292 48.290 14.573 15.308 16.047 16.791 41.923 43.195 44.461 45.722 46.979 49645 50993 52.336 53672 27 11808 12879 18.114 13.565 14.256 14.953 28 12.461 18.939 41.337 19.768 20.599 48.278 49.588 50.892 42557 29 30 13.121 13.787 17.708 18.493 43.773 51.805 63.167 22.164 55.758 67505 66.766 26.509 34 764 29.051 37689 59.342 71 420 63691 76154 40 20.707 24.433 32.357 50 27991 29 07 79 490
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