Applied Statistics and Probability for Engineers

10-3 INFERENCE FOR THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES UNKNOWN 345 Minitab will also perform power an ...

346 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES EXAMPLE 10-8 An article in the journal Hazardous Waste and Hazardous Materi ...

10-3 INFERENCE FOR THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES UNKNOWN 347 If and s^22 are the means and vari ...

348 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES and s 2  3 F. Do the sample data support the claim that both alloys have ...

10-4 PAIRED t-TEST A special case of the two-sample t-tests of Section 10-3 occurs when the observations on the two populations ...

In Equation 10-22, is the sample average of the ndifferences D 1 , D 2 , p, Dn, and SDis the sample standard deviation of these ...

10-4 PAIRED t-TEST 351 3. 4. The test statistic is 6. Reject H 0 if t 0 t0.025, 82.306 or if t 0 t0.025, 82.306. Comput ...

352 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES assuming that both populations X 1 and X 2 have identical variances ^2. Fu ...

10-4 PAIRED t-TEST 353 This confidence interval is also valid for the case where , because s^2 Destimates D^2  V(X 1 X 2 ). A ...

10-38. A computer scientist is investigating the usefulness of two different design languages in improving programming tasks. Tw ...

10-5 INFERENCES ON THE VARIANCES OF TWO NORMAL POPULATIONS 355 10-42. Two different analytical tests can be used to deter- mine ...

356 CHAPTER 10 STATISTICAL INFERENCE FOR TWO SAMPLES independent chi-square random variables, each divided by its number of degr ...

That is, the upper 5 percentage point of F5,10is f0.05, 5,103.33. Table V contains only upper-tail percentage points (for selec ...

This result is based on the fact that (n 1 1)S^21 /^21 is a chi-square random variable with n 1  1 degrees of freedom, that ( ...

We may also find a P-value for the F-statistic in Example 10-11. Since f0.50, 19, 191.00, the computed value of the test statis ...

EXAMPLE 10-13 A company manufactures impellers for use in jet-turbine engines. One of the operations involves grinding a particu ...

10-6 INFERENCE ON TWO POPULATION PROPORTIONS 361 10-6 INFERENCE ON TWO POPULATION PROPORTIONS We now consider the case where the ...

and have approximate normal distributions. We are interested in testing the hypotheses The statistic H 1 : p 1 p 2 H 0 : p 1 p ...

EXAMPLE 10-14 Extracts of St. John’s Wort are widely used to treat depression. An article in the April 18, 2001 issue of the Jou ...

10-6.2 Small-Sample Test for H 0 : p 1 p 2 (CD Only) 10-6.3 -Error and Choice of Sample Size The computation of the -error for ...