Find a test procedure, It is desired to find a test

Find a test procedure

Assignment Help Basic Statistics

Reference no: EM131832664

Suppose that a certain industrial process can be either in control or out of control; and that at any specified time the prior probability that it will be in control is 0.9 and the;: prior probability that it will be out of control is 0.1. A single observation X of the output of the process is to be taken, and it must be decided immediately whether the process is in control or out of control. If the process is in control. then X will have a normal distribution with mean 50 and variance 1. If the process is out of control, then X ill have a normal distribution with mean 52 and variance 1. If it is decided that the process is out of control when in fact it is in control, then the Joss from unnecessarily stopping the process will be $1000. If it is decided that the process is in control when in fact it is out of control, then the loss from continuing the process will be $18,000. If a correct decision is made, then the loss will be O. It is desired to find a test procedure for which the expected loss will be a minimum. For what values of X should it be decided that the process is out of control?

Reference no: EM131832664

Questions Cloud

Write an application to pre-sell a limited number of tickets : Write an application to pre-sell a limited number of cinema tickets. Each buyer can buy as many as 4 tickets. No more than 100 tickets can be sold.

Value of the median of an f distribution : What is the value of the median of an F distribution with m and n degrees of freedom when m = n?

Assess the positive and negative effects of peace and war : Assess the positive and negative effects that peace and war, respectively, have on the distribution of foreign aid in the developing country.

Write a program that implements the given algorithm : Write a program that implements this algorithm. The user should supply an 8-digit number, and you should print out whether the number is valid or not.

Find a test procedure : It is desired to find a test procedure for which the expected loss will be a minimum. For what values of X should it be decided that the process is out

Explain how gender impacts the social institution : Describe and analyze the effect that the stratification elements of gender have on that social institution. Include the following in your analysis.

What is the bayes decision when the system breaks down : H 4 of these components are used in part A and the other 32 components are used in part B. what is the Bayes decision when the system breaks down?

Represent locations as integer pairs : Represent locations as integer pairs (x, y). Implement the drunkard's walk over 100 intersections, starting at (0, 0), and print the ending location.

Prior probability that the component is not functioning : For what values of the prior probability d is the Bayes decision to launch the rocket, even if the warning light goes on?

User Account

All Pages