1 Control charts for and s have been maintained on a process and have exhibited statistical control The sample size is n 6 The control chart parameters are as follows x bar chart S chart UCL 708 2 UCL 3 420 CENTER LINE 706 CENTER LINE 1 738 LCL 703 8 LCL 0 052 (a) Estimate the mean and standard deviation of the process (b) Estimate the natural tolerance limits for the process (c) Assume that the process output is well modeled by a normal distribution If specifications are 703 and 709, estimate the fraction nonconforming (d) Suppose the process mean shifts to 702 00 while the standard deviation remains constant What is the probability of an out of control signal occurring on the first sample following the shift (e) For the shift in part (d), what is the probability of detecting the shift by at least the third subsequent sample

The Answer is in the image, click to view ...

Question: 1. Control charts for and s have been maintained on a process and have exhibited statistical control. The sample size is n = 6. The

1. Control charts for and s have been maintained on a process and have exhibited statistical control. The sample size is n = 6. The control chart parameters are as follows:

x bar chart S chart

UCL = 708.2 UCL = 3.420

CENTER LINE = 706 CENTER LINE = 1.738

LCL =703.8 LCL =0.052

(a) Estimate the mean and standard deviation of the process.

(b) Estimate the natural tolerance limits for the process.

and 709, estimate the fraction nonconforming.

(d) Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of an out-of-control signal occurring on the first sample following the shift?

(e) For the shift in part (d), what is the probability of detecting the shift by at least the third subsequent

sample?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

. Control charts for # and s have been maintained on a process and have exhib- ited statistical control. The sample size is n = 6. The control chart parameters are as follows: & Chart S Chart UCL =...

Control charts for3'5 and S have been maintained on a process and have exhibited statistical control. The sample size is n = 7. The control chart parameters are as follows: 32 Chart S Chart W Center...

Control charts for X and R are maintained on a process. After 2 0 preliminary subgroups each of size 3 are evaluated, you have the following data: Q 1 . Control charts for X and R are maintained on a...

Question 1. Control Charts for Variables Parts manufactured by an injection moulding process are subjected to a compressive strength test. Twenty samples of five parts each are collected, and the...

use variable chart Irfan Manufacturing produces glass boards for well reputed windows manufacturing companies. Ifran Manufacturing has to maintain high quality to be able to keep its customers. The...

can you do number 2 only? can you do number 2 only? (swipe to the last two image to see the clear version) 1. Parts manulactured by an injection molding process are subjected te a comprestive...

7. Construct the appropriate control chart for the observations listed below, using 3 sigma limits. Product number Number of defects a. (15 points) Determine the upper and lower control limits. b....

1. A part that connects two levels should have a distance between the two holes of 4". It has been determined that x-bar and R-charts should be set up to determine if the process is in statistical...

1-What impact financial markets may have on financial information disclosure standards? Illustrate with an example. 2- For asset valuation, indicate the similarities and differences that are expected...

Fuente Office Supply sells all merchandise on credit with terms 2/10, n/30 using the gross method to record sales. Fuente engaged in the following transactions: a. May 1: Fuente sold 50 staplers to...

Acme Corp,u a pablic accounting firm, provides auditing for a multinational cosmetics company. The presideat of the cosmetics company asks Acme Corp, if it will provide consulting services as well....

On 1 March 2007 DB Limited issued R560 000 15% debentures at R98. The debentures were to be redeemed at par in four equal annual payments starting 28 February 2010. Required: Journalise the above...