Consider the np-chart for n=50, LCL=1.515, and UCL=18.485. Derive the β-risk as a function of p...

Consider the np-chart for n=50, LCL=1.515, and UCL=18.485.

Derive the β-risk as a function of p and derive the approximate β-risk by the normal approximation.

Draw the OC curve under p₀, two negative shifts of p, and two positive shifts of p

Solutions

Expert Solution

Now the oc curve for the shifts are

The R code for obtaining of curve:

p=c(.05,.1,.2,.4,.6)

beta_risk=pnorm(18.485,50*p,50*p*(1-p))-pnorm(1.515,50*p,50*p*(1-p))

plot(p,beta_risk,type="l",main="oc curve")

orchestra answered 1 year ago

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