A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.95, 0.94, 0.97, 1.05, 1.06, 1.01, 1.05, 0.95, and 1.05 centimeters. Find a 95% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is

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A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.95, 0.94, 0.97, 1.05, 1.06, 1.01, 1.05, 0.95, and 1.05 O centimeters. Find a 95% confidence interval for the mean
diameter of pieces from this machine, assuming an approximately normal distribution.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
The confidence interval is <µ<
(Round to three decimal places as needed.)
Transcribed Image Text:A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.95, 0.94, 0.97, 1.05, 1.06, 1.01, 1.05, 0.95, and 1.05 O centimeters. Find a 95% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <µ< (Round to three decimal places as needed.)
Critical Values of the t-Distribution
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
21.205
5.643
3.896
42.433
8.073
636.578
31.600
12.924
8.610
63.656
127.321
14.089
1
15.894
31.821
2
4.849
6.965
9.925
3.482
2.999
4.541
3.747
3
5.047
5.841
7.453
3.298
4.088
4.604
5.598
2.757
3.003
3.365
3.634
4.032
4.773
6.869
5.959
5.408
2.612
2.829
3.372
3.707
3.143
2.998
2.896
2.821
4.317
3.203
2.517
2.449
2.715
3.499
4.029
2.634
2.574
5.041
4.781
3.085
3.355
3.250
8
3.833
9
2.398
2.998
3.690
10
2.359
2.527
2.764
2.932
3.169
3.581
4.587
2.328
2.491
2.461
2.436
2.718
2.879
2.836
2.801
11
3.106
3.497
4.437
2.303
2.282
2.681
2.650
2.624
3.428
3.372
4.318
4.221
12
3.055
13
3.012
2.264
2.249
2.415
2.397
2.977
2.947
14
2.771
3.326
4.140
15
2.602
2.746
3.286
4.073
2.235
2.224
2.214
2.205
2.197
2.382
2.368
2.583
2.724
2.706
2.921
2.898
2.878
3.252
3.222
16
4.015
17
2.567
3.965
18
2.356
2.552
2.689
3.197
3.922
2.674
2.661
2.346
2.539
2.528
19
2.861
3.174
3.883
20
2.336
2.845
3.153
3.850
2.831
2.819
3.819
3.792
2.189
2.328
2.518
2.508
2.500
2.492
2.485
2.649
2.639
2.629
3.135
3.119
21
22
2.183
2.320
2.177
2.172
3.768
3.745
23
2.313
2.807
3.104
2.797
2.787
3.091
3.078
24
2.307
2.301
2.620
2.612
25
2.167
3.725
2.479
2.473
2.605
2.598
2.779
2.771
26
2.162
2.296
3.067
3.707
2.291
2.286
27
2.158
3.057
3.689
2.154
2.150
2.147
2.467
2.462
2.457
2.592
2.586
2.763
2.756
28
3.047
3.674
3.038
3.030
3.660
3.646
29
2.282
30
2.278
2.581
2.750
Print
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Transcribed Image Text:Critical Values of the t-Distribution 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 21.205 5.643 3.896 42.433 8.073 636.578 31.600 12.924 8.610 63.656 127.321 14.089 1 15.894 31.821 2 4.849 6.965 9.925 3.482 2.999 4.541 3.747 3 5.047 5.841 7.453 3.298 4.088 4.604 5.598 2.757 3.003 3.365 3.634 4.032 4.773 6.869 5.959 5.408 2.612 2.829 3.372 3.707 3.143 2.998 2.896 2.821 4.317 3.203 2.517 2.449 2.715 3.499 4.029 2.634 2.574 5.041 4.781 3.085 3.355 3.250 8 3.833 9 2.398 2.998 3.690 10 2.359 2.527 2.764 2.932 3.169 3.581 4.587 2.328 2.491 2.461 2.436 2.718 2.879 2.836 2.801 11 3.106 3.497 4.437 2.303 2.282 2.681 2.650 2.624 3.428 3.372 4.318 4.221 12 3.055 13 3.012 2.264 2.249 2.415 2.397 2.977 2.947 14 2.771 3.326 4.140 15 2.602 2.746 3.286 4.073 2.235 2.224 2.214 2.205 2.197 2.382 2.368 2.583 2.724 2.706 2.921 2.898 2.878 3.252 3.222 16 4.015 17 2.567 3.965 18 2.356 2.552 2.689 3.197 3.922 2.674 2.661 2.346 2.539 2.528 19 2.861 3.174 3.883 20 2.336 2.845 3.153 3.850 2.831 2.819 3.819 3.792 2.189 2.328 2.518 2.508 2.500 2.492 2.485 2.649 2.639 2.629 3.135 3.119 21 22 2.183 2.320 2.177 2.172 3.768 3.745 23 2.313 2.807 3.104 2.797 2.787 3.091 3.078 24 2.307 2.301 2.620 2.612 25 2.167 3.725 2.479 2.473 2.605 2.598 2.779 2.771 26 2.162 2.296 3.067 3.707 2.291 2.286 27 2.158 3.057 3.689 2.154 2.150 2.147 2.467 2.462 2.457 2.592 2.586 2.763 2.756 28 3.047 3.674 3.038 3.030 3.660 3.646 29 2.282 30 2.278 2.581 2.750 Print Done
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