A manufacturer bonds a plastic coating to a metal surface. A random sample of nine observations on the thickness of this coating is taken from a week's output and the thickness (in millimeters) of these observations are shown below. Assuming normality, find a 90% confidence interval for the population variance. 19.4 21.9 18.6 20.9 21.4 19.1 19.4 20.4 20.6 Click the icon to view a table of lower critical values for the chi-squ 1 Lower Critical Values of Chi-Square O Upper Critical Values of Chi-Square E Click the icon to view a table of upper critical values for the chi-squ Find the 90% confidence interval. 0.90 0.95 0.975 0.99 0.999 0.10 0.05 0.025 0.01 0.001 10.828 13.816 1 .016 .004 001 .000 000 1 2.706 3.841 5.024 6.635 211 .103 051 020 .002 4.605 5.991 7.378 9.210 (Round to four decimal places as needed.) 3 .584 352 216 .115 .024 6.251 7.815 9.348 11.345 16.266 4 1.064 .711 484 .297 .091 18.467 20.515 4 7.779 9.488 11.143 13.277 1.610 1.145 831 554 .210 9,236 11.070 12.833 15.086 6. 2.204 1.635 1.237 872 381 12.502 14.067 6. 10.645 14.449 16.812 22.458 7. 2.833 2.167 1.690 1.239 598 7 12.017 16.013 18.475 24.322 3.490 2.733 2.180 1.646 857 1325 2088 8. 13.362 15.507 17.535 20.090 26.125 4168 2700 1152

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ISBN:9781119256830
Author:Amos Gilat
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A manufacturer bonds a plastic coating to a metal surface. A random sample of nine observations on the thickness of this coating is taken from a week's output and the thickness (in millimeters) of these observations are shown below. Assuming
normality, find a 90% confidence interval for the population variance.
19.4
21.9
18.6
20.9
21.4
19.1
19.4
20.4
20.6
Click the icon to view a table of lower critical values for the chi-squa
Lower Critical Values of Chi-Square
i Upper Critical Values of Chi-Square
Click the icon to view a table of upper critical values for the chi-squ
Find the 90% confidence interval.
0.90
0.95
0.975
0.99
0.999
0.10
0.05
0.025
0.01
0.001
1
.016
.004
.001
.000
.000
1
2.706
3.841
5.024
6.635
10.828
<o? <
(Round to four decimal places as needed.)
.211
.103
.051
.020
.002
4.605
5.991
7.378
9.210
13.816
.584
352
216
.115
.024
3
6.251
7.815
9.348
11.345
16.266
4
1.064
.711
484
.297
.091
4
7.779
9.488
11.143
13.277
18.467
1.610
1.145
831
.554
.210
5
9.236
11.070
12.833
15.086
20.515
6.
2.204
1.635
1.237
.872
.381
10.645
12.592
14.449
16.812
22.458
7
2.833
2.167
1.690
1.239
598
7
12.017
14.067
16.013
18.475
24.322
8
3.490
2.733
2.180
1.646
.857
4.168
3.325
2.700
2.088
1.152
8
13.362
15.507
17.535
20.090
26.125
10
4.865
3.940
3.247
2.558
1.479
14.684
16.919
19.023
21.666
27.877
11
5.578
4.575
3.816
3.053
1.834
10
15.987
18.307
20.483
23.209
29.588
12
6.304
5.226
4.404
3.571
2.214
11
17.275
19.675
21.920
24.725
31.264
13
7.042
5.892
5.009
4.107
2.617
12
18.549
21.026
23.337
26.217
32.910
14
7.790
6.571
5.629
4.660
3.041
13
19.812
22.362
24.736
27.688
34.528
15
8.547
7.261
6.262
5.229
3.483
14
21.064
23.685
26.119
29.141
36.123
16
9.312
7.962
6.908
5.812
3.942
15
22.307
24.996
27.488
30.578
37.697
17
10.085
8.672
7.564
6.408
4.416
16
23.542
26.296
28.845
32.000
39.252
18
10.865
9.390
8.231
7.015
4.905
19
11.651
10.117
8.907
7.633
5.407
17
24.769
27.587
30.191
33.409
40.790
20
12.443
10.851
9.591
8.260
5.921
18
25.989
28.869
31.526
34.805
42.312
21
13.240
11.591
10.283
8.897
6.447
19
27.204
30.144
32.852
36.191
43.820
22
14.041
12.338
10.982
9.542
6.983
20
28.412
31.410
34.170
37.566
45.315
23
14.848
13.091
11.689
10.196
7.529
21
29.615
32.671
35.479
38.932
46.797
24
15.659
13.848
12.401
10.856
8.085
22
30.813
33.924
36.781
40.289
48.268
25
16.473
14.611
13.120
11.524
8.649
23
32.007
35.172
38.076
41.638
49.728
26
17.292
15.379
13.844
12.198
9.222
24
33.196
36.415
39.364
42.980
51.179
27
18.114
16.151
14.573
12.879
9.803
25
34.382
37.652
40.646
44.314
52.620
28
18.939
16.928
15.308
13.565
10.391
Transcribed Image Text:A manufacturer bonds a plastic coating to a metal surface. A random sample of nine observations on the thickness of this coating is taken from a week's output and the thickness (in millimeters) of these observations are shown below. Assuming normality, find a 90% confidence interval for the population variance. 19.4 21.9 18.6 20.9 21.4 19.1 19.4 20.4 20.6 Click the icon to view a table of lower critical values for the chi-squa Lower Critical Values of Chi-Square i Upper Critical Values of Chi-Square Click the icon to view a table of upper critical values for the chi-squ Find the 90% confidence interval. 0.90 0.95 0.975 0.99 0.999 0.10 0.05 0.025 0.01 0.001 1 .016 .004 .001 .000 .000 1 2.706 3.841 5.024 6.635 10.828 <o? < (Round to four decimal places as needed.) .211 .103 .051 .020 .002 4.605 5.991 7.378 9.210 13.816 .584 352 216 .115 .024 3 6.251 7.815 9.348 11.345 16.266 4 1.064 .711 484 .297 .091 4 7.779 9.488 11.143 13.277 18.467 1.610 1.145 831 .554 .210 5 9.236 11.070 12.833 15.086 20.515 6. 2.204 1.635 1.237 .872 .381 10.645 12.592 14.449 16.812 22.458 7 2.833 2.167 1.690 1.239 598 7 12.017 14.067 16.013 18.475 24.322 8 3.490 2.733 2.180 1.646 .857 4.168 3.325 2.700 2.088 1.152 8 13.362 15.507 17.535 20.090 26.125 10 4.865 3.940 3.247 2.558 1.479 14.684 16.919 19.023 21.666 27.877 11 5.578 4.575 3.816 3.053 1.834 10 15.987 18.307 20.483 23.209 29.588 12 6.304 5.226 4.404 3.571 2.214 11 17.275 19.675 21.920 24.725 31.264 13 7.042 5.892 5.009 4.107 2.617 12 18.549 21.026 23.337 26.217 32.910 14 7.790 6.571 5.629 4.660 3.041 13 19.812 22.362 24.736 27.688 34.528 15 8.547 7.261 6.262 5.229 3.483 14 21.064 23.685 26.119 29.141 36.123 16 9.312 7.962 6.908 5.812 3.942 15 22.307 24.996 27.488 30.578 37.697 17 10.085 8.672 7.564 6.408 4.416 16 23.542 26.296 28.845 32.000 39.252 18 10.865 9.390 8.231 7.015 4.905 19 11.651 10.117 8.907 7.633 5.407 17 24.769 27.587 30.191 33.409 40.790 20 12.443 10.851 9.591 8.260 5.921 18 25.989 28.869 31.526 34.805 42.312 21 13.240 11.591 10.283 8.897 6.447 19 27.204 30.144 32.852 36.191 43.820 22 14.041 12.338 10.982 9.542 6.983 20 28.412 31.410 34.170 37.566 45.315 23 14.848 13.091 11.689 10.196 7.529 21 29.615 32.671 35.479 38.932 46.797 24 15.659 13.848 12.401 10.856 8.085 22 30.813 33.924 36.781 40.289 48.268 25 16.473 14.611 13.120 11.524 8.649 23 32.007 35.172 38.076 41.638 49.728 26 17.292 15.379 13.844 12.198 9.222 24 33.196 36.415 39.364 42.980 51.179 27 18.114 16.151 14.573 12.879 9.803 25 34.382 37.652 40.646 44.314 52.620 28 18.939 16.928 15.308 13.565 10.391
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