Introduction to Probability and Statistics for Engineers and Scientists
564 Chapter 13:Quality Control moving average. For values oftless thank,Mtis defined as the average of the firstt subgroups. Tha ...
13.6Other Control Charts for Detecting Changes in the Population Mean 565 TABLE 13.3 t Xt Mt LCL UCL 1 9.617728 9.617728 7.31671 ...
566 Chapter 13:Quality Control 14 12 10 8 (^6051015202530) t UCL LCL Control chart for X FIGURE 13.3 Let Wt=αXt+(1−α)Wt− 1 (13.6 ...
13.6Other Control Charts for Detecting Changes in the Population Mean 567 where the foregoing used the fact thatW 0 =μ. Thus we ...
568 Chapter 13:Quality Control To determine the variance, we again use Equation 13.6.2: Var(Wt)= σ^2 n { α^2 +[α(1−α)]^2 +[α(1−α ...
13.6Other Control Charts for Detecting Changes in the Population Mean 569 the repair shop plots a standard exponentially weighte ...
570 Chapter 13:Quality Control EXAMPLE 13.6c Consider the data of Example 13.6a but now use an exponentially weighted moving-ave ...
13.6Other Control Charts for Detecting Changes in the Population Mean 571 13.6.3 Cumulative Sum Control Charts The major competi ...
572 Chapter 13:Quality Control became large — say, greater thanBσ/ √ n— then this would be strong evidence that the process has ...
Problems 573 equivalent to an increase inE[−Xi]. Hence, we can detect a decrease in the mean value of an item by running a one-s ...
574 Chapter 13:Quality Control Subgroup No. X Subgroup No. X 11 35.8 16 31.6 12 35.8 17 33.0 13 34.0 18 33.2 14 35.0 19 31.8 15 ...
Problems 575 approximately what percentage of the items produced will fall within the specification limits? Determine the revis ...
576 Chapter 13:Quality Control (d) Ifμis increased by 60, what is the probability of a subgroup average falling outside the cont ...
Problems 577 Sample Number of Sample Number of Number Defectives Number Defectives 1511 4 221210 3113 0 4514 8 5915 3 6416 6 731 ...
578 Chapter 13:Quality Control you conclude that the process has been in control throughout these 15 days? What control limits w ...
Problems 579 18.The data shown below give subgroup averages and moving averages of the values from Problem 17. The span of the m ...
...
Chapter 14* Life Testing 14.1 Introduction In this chapter, we consider a population of items having lifetimes that are assumed ...
582 Chapter 14*:Life Testing P{X∈(t,t+dt)|X>t}. Now P{X∈(t,t+dt)|X>t}= P{X∈(t,t+dt),X>t} P{X>t} = P{X∈(t,t+dt)} P{X& ...
14.2Hazard Rate Functions 583 which implies that 1 −F(t)=exp { − ∫t 0 λ(s)ds } (14.2.1) Hence a distribution function of a posit ...
«
24
25
26
27
28
29
30
31
32
33
»
Free download pdf