Applied Statistics and Probability for Engineers

9-3 Notice that is the square of the value of a random variable that has the t-distribution with n 1 degrees of freedom when the ...

9-4 where B(c; n 1 , p 0 ) is the cumulative binomial distribution. To find the critical value for a given , we would select th ...

327 10 Statistical Inference for Two Samples CHAPTER OUTLINE LEARNING OBJECTIVES After careful study of this chapter, you should ...

328 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES Test hypotheses and construct confidence intervals on the ratio of the var ...

10-2 INFERENCE FOR A DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES KNOWN 329 This result will be used to form tests ...

330 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES EXAMPLE 10-1 A product developer is interested in reducing the drying time ...

10-2 INFERENCE FOR A DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES KNOWN 331 Conclusion: Since z 0 2.521.645, we ...

332 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES EXAMPLE 10-2 Consider the paint drying time experiment from Example 10-1. I ...

10-2 INFERENCE FOR A DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES KNOWN 333 where is the true difference in means ...

334 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES cause and effect here has proven enormously difficult. Many individuals had ...

10-2 INFERENCE FOR A DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES KNOWN 335 EXAMPLE 10-4 Tensile strength tests we ...

336 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES x 1 x 2 z (10-10) B ^21 n 1 ^22 n 2 ^1 ^2 EXERCISES FOR SECTION 10 ...

10-3 INFERENCE FOR THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES UNKNOWN 337 10-3 INFERENCE FOR THE DIFFERENCE ...

338 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES develop the test procedure, but moderate departures from normality do not a ...

10-3 INFERENCE FOR THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES UNKNOWN 339 Given the assumptions of this sect ...

340 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES H 1 :  1  2 0.05 The test statistic is 6. Reject H 0 if t 0 t0.025,1 ...

10-3 INFERENCE FOR THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES UNKNOWN 341 The Minitab two-sample t-test and ...

342 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES Therefore, if ^21  ^22 , the hypotheses on differences in the means of t ...

10-3 INFERENCE FOR THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES UNKNOWN 343 H 1 :  1   2  0.05 (say) The ...

344 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES The numerical results from Minitab exactly match the calculations from Exam ...