Critical Values of the t-Distribution 0.40 0.30 0.20 0.15 0.10 0.05 0.025 0.325 0.727 0.617 1.376 1.963 1.386 1.250 1.190 1 3.078 6.314 12.706 0.289 0.277 0.271 2 1.061 1.886 2.920 4.303 1.638 1.533 1.476 3 0.584 0.978 2.353 3.182 0.569 0.941 2.132 2.776 5 0.267 0.559 0.920 1.156 2.015 2.571 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 0.263 0.262 0.896 0.889 0.883 0.879 2.365 2.306 7 0.549 1.119 1.415 1.895 1.108 1.100 8 0.546 1.397 1.860 0.543 0.542 1.833 1.812 0.261 1.383 2.262 2.228 10 0.260 1.093 1.372 0.260 0.259 1.796 1.782 2.201 0.876 0.873 1.088 1.083 1.363 1.356 11 0.540 12 0.539 0.538 2.179 0.259 0.258 0.258 13 0.870 1.079 1.350 1.771 2.160 2.145 2.131 0.537 0.868 1.076 1.074 1.345 1.341 14 1.761 15 0.536 0.866 1.753 0.258 0.257 0.257 0.257 0.865 0.863 0.862 1.071 1.069 1.067 1.337 1.333 1.330 16 0.535 1.746 2.120 17 0.534 1.740 2.110 0.534 2.101 2.093 18 1.734 1.066 1.064 1.328 1.325 1.729 1.725 19 0.533 0.861 20 0.257 0.533 0.860 2.086
Critical Values of the t-Distribution 0.40 0.30 0.20 0.15 0.10 0.05 0.025 0.325 0.727 0.617 1.376 1.963 1.386 1.250 1.190 1 3.078 6.314 12.706 0.289 0.277 0.271 2 1.061 1.886 2.920 4.303 1.638 1.533 1.476 3 0.584 0.978 2.353 3.182 0.569 0.941 2.132 2.776 5 0.267 0.559 0.920 1.156 2.015 2.571 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 0.263 0.262 0.896 0.889 0.883 0.879 2.365 2.306 7 0.549 1.119 1.415 1.895 1.108 1.100 8 0.546 1.397 1.860 0.543 0.542 1.833 1.812 0.261 1.383 2.262 2.228 10 0.260 1.093 1.372 0.260 0.259 1.796 1.782 2.201 0.876 0.873 1.088 1.083 1.363 1.356 11 0.540 12 0.539 0.538 2.179 0.259 0.258 0.258 13 0.870 1.079 1.350 1.771 2.160 2.145 2.131 0.537 0.868 1.076 1.074 1.345 1.341 14 1.761 15 0.536 0.866 1.753 0.258 0.257 0.257 0.257 0.865 0.863 0.862 1.071 1.069 1.067 1.337 1.333 1.330 16 0.535 1.746 2.120 17 0.534 1.740 2.110 0.534 2.101 2.093 18 1.734 1.066 1.064 1.328 1.325 1.729 1.725 19 0.533 0.861 20 0.257 0.533 0.860 2.086
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
![Critical Values of the t-Distribution
0.40
0.30
0.20
0.15
0.10
0.05
0.025
0.325
0.727
0.617
1.376
1.963
1.386
1.250
1.190
1
3.078
6.314
12.706
4.303
3.182
0.289
1.061
1.886
2.920
1.638
1.533
3
0.277
0.584
0.978
2.353
0.569
0.559
0.941
0.920
0.271
2.132
2.776
5.
0.267
1.156
1.476
2.015
2.571
0.265
0.263
0.262
0.906
0.896
0.889
1.134
1.943
1.895
2.447
2.365
2.306
0.553
1.440
7
0.549
1.119
1.415
8
0.546
1.108
1.397
1.860
0.543
0.542
0.883
1.833
1.812
0.261
1.100
1.383
2.262
10
0.260
0.879
1.093
1.372
2.228
0.260
0.259
0.259
0.258
0.876
0.873
1.363
1.356
1.796
1.782
2.201
2.179
2.160
2.145
11
0.540
1.088
12
0.539
1.083
13
0.538
0.870
1.079
1.350
1.771
0.537
0.868
1.076
1.345
1.341
14
1.761
15
0.258
0.536
0.866
1.074
1.753
2.131
0.535
0.534
0.865
0.863
0.862
16
0.258
1.071
1.337
1.746
2.120
1.333
1.330
17
0.257
1.069
1.740
2.110
1.067
1.066
1.064
1.734
1.729
1.725
18
0.257
0.257
0.257
0.534
2.101
0.861
0.860
1.328
1.325
2.093
0.533
0.533
19
20
2.086
0.532
0.532
0.532
0.859
0.858
1.063
1.061
1.060
21
1.721
0.257
0.256
1.323
2.080
1.321
2.074
2.069
22
1.717
23
0.256
0.858
1.319
1.714
1.711
0.256
0.256
24
0.531
0.857
1.059
1.318
2.064
25
0.531
0.856
1.058
1.316
1.708
2.060
0.531
0.256
0.256
1.058
1.057
26
1.706
0.856
0.855
1.315
2.056
27
0.531
1.314
1.703
2.052
Print
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bb75798-fda6-4814-a9cf-e7440e5e202d%2F34536880-1710-44bc-a536-896dd180bd41%2Fleh5grk_processed.png&w=3840&q=75)
Transcribed Image Text:Critical Values of the t-Distribution
0.40
0.30
0.20
0.15
0.10
0.05
0.025
0.325
0.727
0.617
1.376
1.963
1.386
1.250
1.190
1
3.078
6.314
12.706
4.303
3.182
0.289
1.061
1.886
2.920
1.638
1.533
3
0.277
0.584
0.978
2.353
0.569
0.559
0.941
0.920
0.271
2.132
2.776
5.
0.267
1.156
1.476
2.015
2.571
0.265
0.263
0.262
0.906
0.896
0.889
1.134
1.943
1.895
2.447
2.365
2.306
0.553
1.440
7
0.549
1.119
1.415
8
0.546
1.108
1.397
1.860
0.543
0.542
0.883
1.833
1.812
0.261
1.100
1.383
2.262
10
0.260
0.879
1.093
1.372
2.228
0.260
0.259
0.259
0.258
0.876
0.873
1.363
1.356
1.796
1.782
2.201
2.179
2.160
2.145
11
0.540
1.088
12
0.539
1.083
13
0.538
0.870
1.079
1.350
1.771
0.537
0.868
1.076
1.345
1.341
14
1.761
15
0.258
0.536
0.866
1.074
1.753
2.131
0.535
0.534
0.865
0.863
0.862
16
0.258
1.071
1.337
1.746
2.120
1.333
1.330
17
0.257
1.069
1.740
2.110
1.067
1.066
1.064
1.734
1.729
1.725
18
0.257
0.257
0.257
0.534
2.101
0.861
0.860
1.328
1.325
2.093
0.533
0.533
19
20
2.086
0.532
0.532
0.532
0.859
0.858
1.063
1.061
1.060
21
1.721
0.257
0.256
1.323
2.080
1.321
2.074
2.069
22
1.717
23
0.256
0.858
1.319
1.714
1.711
0.256
0.256
24
0.531
0.857
1.059
1.318
2.064
25
0.531
0.856
1.058
1.316
1.708
2.060
0.531
0.256
0.256
1.058
1.057
26
1.706
0.856
0.855
1.315
2.056
27
0.531
1.314
1.703
2.052
Print
Done
![Two catalysts in a batch chemical process are being compared for their effect on the output of the process reaction. A sample of 14 batches was prepared using catalyst 1 and gave an average yield of 88 with a sample standard deviation of 5. A
sample of 10 batches was prepared using catalyst 2 and gave an average yield of 83 and a sample standard deviation of 4. Find a 90% confidence interval for the difference between the population means, assuming that the populations are
approximately normally distributed with equal variances.
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.
Let
be the population mean for catalyst 1 and let µ2 be the population mean for catalyst 2.
|<H1- H2<
(Round to two decimal places as needed.)
The confidence interval is
く](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bb75798-fda6-4814-a9cf-e7440e5e202d%2F34536880-1710-44bc-a536-896dd180bd41%2Fn0um6pd_processed.png&w=3840&q=75)
Transcribed Image Text:Two catalysts in a batch chemical process are being compared for their effect on the output of the process reaction. A sample of 14 batches was prepared using catalyst 1 and gave an average yield of 88 with a sample standard deviation of 5. A
sample of 10 batches was prepared using catalyst 2 and gave an average yield of 83 and a sample standard deviation of 4. Find a 90% confidence interval for the difference between the population means, assuming that the populations are
approximately normally distributed with equal variances.
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.
Let
be the population mean for catalyst 1 and let µ2 be the population mean for catalyst 2.
|<H1- H2<
(Round to two decimal places as needed.)
The confidence interval is
く
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