Question: Consider an X control chart with UCL = 24.802, LCL = 23.792, and n = 3. Suppose that the mean shifts to 24.2. (a) What

Consider an X̅ control chart with UCL = 24.802, LCL = 23.792, and n = 3. Suppose that the mean shifts to 24.2.

(a) What is the probability that this shift is detected on the next sample?

(b) What is the ARL after the shift?

Step by Step Solution

★★★★★

3.37 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The difference UCL LCL 6 x 24802 23792 101 Therefore P24242 Z 35769 PZ 35769 PZ ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Statistics and Probability Questions!

Q:

Consider an X control chart with UCL = 32.802, UCL = 24.642, and n = 5. Suppose that the mean shifts to 30. (a) What is the probability that this shift is detected on the next sample? (b) What is the...

Q:

Consider an X control chart with r = 0.344, UCL = 14.708, LCL = 14.312, and n = 5. Suppose that the mean shifts to 14.6. (a) What is the probability that this shift is detected on the next sample?...

Q:

Consider an X control chart with r = 34.286, UCL = 242.780, LCL = 203.220, and n = 5. Suppose that the mean shifts to 210. (a) What is the probability that this shift is detected on the next sample?...

Q:

Consider an control chart with UCL 17.98, LCL 12.31, and n 4. Suppose that the mean shifts to 12.8. X r 3.895, X r 0.39, X 2.922, X X (a) What is the probability that this shift will be...

Q:

Consider an control chart with , UCL 0.0635, LCL 0.0624, and n 5. Suppose that the mean shifts to 0.0625. X r 0.000924 X r 2.25 X 2.466 X 1.40 (a) What is the probability that this shift...

Q:

Consider an control chart with UCL 0.06331, LCL 0.06266, and n 5. Suppose that the mean shifts to 0.0630. (a) What is the probability that this shift will be detected on the next sample? (b) What...

Q:

Consider an control chart with UCL 39.34, LCL 29.22, and n 3. Suppose that the mean shifts to 39.0. (a) What is the probability that this shift will be detected on the next sample? (b) What is the...

Q:

Consider an control chart with UCL 19.209, LCL 18.641, and n 4. Suppose that the mean shifts to 19.1. (a) What is the probability that this shift will be detected on the next sample? (b) What is...

Q:

Consider an control chart with UCL 17.98, LCL 12.31, and n 4. Suppose that the mean shifts to 12.8. (a) What is the probability that this shift will be detected on the next sample? (b) What is the...

Q:

Consider an control chart with UCL 7.385, LCL 5.061, and n 3. Suppose that the mean shifts to 6.80. (a) What is the probability that this shift will be detected on the next sample? (b) What is the...

Q:

When a new partner who has been the sole owner of a business is admitted to a partnership by having the partnership take over the old business, what usually serves as the basis for preparing the...

Q:

Select a firm that operates in the oligopoly market structure. Your post should explicitly define oligopoly and make clear connections between your firm and the characteristics of a oligopoly....

Q:

CHALLENGE Acidity of rainwater. Changing the choice of classes can change the appearance of a histogram. Here is an example in which a small shift in the classes, with no change in the number of...

Q:

(d) Assume r and N/r are large, and show that interval estimates of Y based on using U as the estimated sampling variance of y are too short by a factor (1+nr1 rn1)1/2. Note that there are two...

Q:

Suppose you are testing the hypotheses H 0 : = 0.25 and H a :

Q:

Explain the meaning of each of the following symbols. a. H 0 b. H a c. p d. e. n

Q:

What is the difference between p and the p-value?

Q:

Filer Manufacturing has 7 million shares of common stock outstanding. The current share price is $86, and the book value per share is $5. Filer Manufacturing also has two bond issues outstanding. The...

Q:

13-1 . . An investor owns some stock in Adam's Eve Inc. The stock recently underwent a 3-for-2 stock split. a. If the stock was trading at $90 per share just before the split, how much is each share...

Q:

You have been asked to determine the probability that the contribution margin for a particular product line exceeds the fixed cost of $2590. The total number of units sold is a normally distributed...