Applied Statistics and Probability for Engineers

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Author(s): Douglas C. Montgomery, George C. Runger
Edition: 3rd ed
Publisher: Wiley
Year: 2003

Language: English
Pages: 977
City: New York

Portada......Page 2
Organization of the book......Page 6
Using the web......Page 9
Using the computer......Page 8
Contents......Page 10
1 The Role of Statistics in Engineering......Page 16
1-1 THE ENGINEERING METHOD AND STATISTICAL THINKING......Page 17
1-2.2 Retrospective Study......Page 20
1-2.4 Designed Experiments......Page 21
1-2.6 Observing Processes Over Time......Page 23
1-3 MECHANISTIC AND EMPIRICAL MODELS......Page 26
1-4 PROBABILITY AND PROBABILITY MODELS......Page 29
2 Probability......Page 34
8 Statistical Intervals for a Single Sample......Page 296
8-2.1 Development of the Confidence Interval and its Basic Properties......Page 298
8-2.2 Choice of Sample Size......Page 301
8-2.4 General Method to Derive a Confidence Interval......Page 302
8-2.5 A Large-Sample Confidence Interval for mu......Page 303
8-2.6 Bootstrap Confidence Intervals (CD Only)......Page 305
8-3 CONFIDENCE INTERVAL ON THE MEAN OF A NORMAL DISTRIBUTION, VARIANCE UNKNOWN......Page 306
8-3.1 The t Distribution......Page 307
8-3.3 The t Confidence Interval on mu......Page 308
8-4 CONFIDENCE INTERVAL ON THE VARIANCE AND STANDARD DEVIATION OF A NORMAL POPULATION......Page 310
8-5 A LARGE-SAMPLE CONFIDENCE INTERVAL FOR A POPULATION PROPORTION......Page 314
8-6 A PREDICTION INTERVAL FOR A FUTURE OBSERVATION......Page 317
8-7 TOLERANCE INTERVALS FOR A NORMAL DISTRIBUTION......Page 319
9 Tests of Hypotheses......Page 330
9-1.1 Statistical Hypotheses......Page 331
9-1.2 Tests of Statistical Hypotheses......Page 333
9-1.3 One-Sided and Two-Sided Hypotheses......Page 339
9-1.4 General Procedure for Hypothesis Tests......Page 340
9-2.1 Hypothesis Tests on the Mean......Page 342
9-2.2 P-Values in Hypothesis Tests......Page 345
9-2.4 Type II Error and Choice of Sample Size......Page 346
9-2.5 Large-Sample Test......Page 350
9-2.6 Some Practical Comments on Hypothesis Tests......Page 351
9-3.1 Hypothesis Tests on the Mean......Page 353
9-3.2 P-Value for a t-Test......Page 356
9-3.3 Choice of Sample Size......Page 357
9-3.4 Likelihood Ratio Approach to Development of Test Procedures......Page 358
9-4.1 The Hypothesis Testing Procedures......Page 360
9-4.2 Beta-Error and Choice of Sample Size......Page 362
9-5.1 Large-Sample Tests on a Proportion......Page 363
9-5.3 Type II Error and Choice of Sample Size......Page 365
9-7 TESTING FOR GOODNESS OF FIT......Page 368
9-8 CONTINGENCY TABLE TESTS......Page 373
10 Statistical Inference......Page 384
10-2 INFERENCE FOR A DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES KNOWN......Page 385
10-2.1 Hypothesis Tests for a Difference in Means, Variances Known......Page 386
10-2.2 Choice of Sample Size......Page 388
10-2.3 Identifying Cause and Effect......Page 390
10-2.4 Confidence Interval on a Difference in Means, Variances Known......Page 391
10-3.1 Hypotheses Tests for a Difference in Means, Variances Unknown......Page 394
10-3.3 Choice of Sample Size......Page 401
10-3.4 Confidence Interval on the Difference in Means......Page 402
10-5.1 The F Distribution......Page 412
10-5.3 Hypothesis Tests on the Ratio of Two Variances......Page 414
10-5.5 Confidence Interval on the Ratio of Two Variances......Page 416
10-4 PAIRED t-TEST......Page 406
10-6.1 Large-Sample Test for H0: p1 = p2......Page 418
10-6.3 Beta-Error and Choice of Sample Size......Page 421
10-6.4 Confidence Interval for p1 - p2......Page 422
10-7 SUMMARY TABLE FOR INFERENCE PROCEDURES FOR TWO SAMPLES......Page 424
A lo mejor......Page 396
Table IV......Page 773