q1 a sample of five units of product is taken from a production process every hour

Q1- A sample of five units of product is taken from a production process every hour. The results in Table are obtained. Assume that the specifications on this quality characteristic are at 10.015 and 10.035. Set up a control chart to monitor the tool wear? What is your conclusion? (100 points)

Sample No.

Xbar

R

1

10.02

0.008

2

10.022

0.009

3

10.025

0.006

4

10.028

0.007

5

10.029

0.005

6

10.032

0.006

7

10.018

0.005

8

10.021

0.006

9

10.024

0.005

10

10.026

0.008

11

10.029

0.005

12

10.031

0.007

Answer:

Q2 – The data shown in Table from a production process with two CTQs, X1, and X2. The sample data are sample means of X1 and X2 (Sample size =25, Assume that mean values of the quality characteristics and the covariance matrix were computed from 50 preliminary Samples=50). Construct T2 control chart using these data for Phase (I). (100 points)
Answer:

Q3 – Explain the shortcomings of control ellipse in Multivariate Monitoring Chart? (50 points)
Answer:
 
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