Answered: The data shown in Table 6E.2 are x and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The data shown in Table 6E.2 are x and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345).

(a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits.

(b) If specifications on this diameter are 0.5030+/- 0.0010, find the percentage of nonconforming bearing produced by this process. Assume that diameter is normally distributed.

■ TABLE 6E.2
Bearing Diameter Data
Sample
Number
1
2
3
4
enorme
34.5 3
34.2 4
31.6
4
31.5
35.0
Sample
R Number
4
5
34.1 6
32.6
4
33.8 3
34.8 7
9
10
11 31.9
12
38.6
33.6 8
3
9
13 35.4
14
34.0
15
37.1
16
34.9
17
33.5
18
31.7
34.0
19
20
21
22
IM
23
24
R
8
6
5
7
32.8
33.5
34.2
4
3
8
35.1 4
33.7
2
1
3
2

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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