Applied Statistics and Probability for Engineers

8-7 TOLERABLE INTERVALS FOR A NORMAL DISTRIBUTION 273 8-75. An operating system for a personal computer has been studied extensi ...

274 CHAPTER 8 STATISTICAL INTERVALS FOR A SINGLE SAMPLE (c) Find a 99% prediction interval on the tar content for the next obser ...

8-7 TOLERABLE INTERVALS FOR A NORMAL DISTRIBUTION 275 MIND-EXPANDING EXERCISES 8-86. An electrical component has a time-to-failu ...

276 CHAPTER 8 STATISTICAL INTERVALS FOR A SINGLE SAMPLE In the E-book, click on any term or concept below to go to that subject. ...

8-1 8-2.6 Bootstrap Confidence Intervals (CD Only) In Section 7-2.5 we showed how a technique called the bootstrapcould be used ...

*The confidence interval is where and are the lower and upper 2 percentage points of the chi-square distribution (which was in ...

8-3 Now the numerator of Equation S8-1 is a standard normal random variable. The ratio in the denominator is a chi-square random ...

8-4 Thus, and the joint probability distribution of Tand Uis Now, since V0, we must require that U0, and since On rearranging ...

277 9 Tests of Hypotheses for a Single Sample CHAPTER OUTLINE 9-1 HYPOTHESIS TESTING 9-1.1 Statistical Hypotheses 9-1.2 Tests of ...

LEARNING OBJECTIVES After careful study of this chapter, you should be able to do the following: Structure engineering decision ...

Since we use probability distributions to represent populations, a statistical hypothesis may also be thought of as a statement ...

9-1.2 Tests of Statistical Hypotheses To illustrate the general concepts, consider the propellant burning rate problem introduce ...

9-1 HYPOTHESIS TESTING 281 48.5 50 51.5 Reject H 0 μ ≠ 50 cm/s Fail to Reject H 0 μ = 50 cm/s Reject H 0 μ ≠ 50 cm/s x Table 9-1 ...

From inspection of Fig. 9-2, notice that we can reduce by widening the acceptance region. For example, if we make the critical v ...

The z-values corresponding to 48.5 and 51.5 when   52 are Therefore Thus, if we are testing H 0 :   50 against H 1 :   50 ...

in many practical situations we would not be as concerned with making a type II error if the mean were “close” to the hypothesiz ...

The results in boxes were not calculated in the text but can easily be verified by the reader. This display and the discussion a ...

9-1.3 One-Sided and Two-Sided Hypotheses A test of any hypothesis such as is called a two-sidedtest, because it is important to ...

company. The bottler wants to be sure that the bottles meet the specification on mean internal pressure or bursting strength, wh ...

Determine an appropriate test statistic. State the rejection region for the statistic. Compute any necessary sample quantities, ...