Graphs must be drawn using technology (Using a computer package suchas Excel) The means are ?̿ = 9.9892,?̅ = 0.2628 ??? ?̅= 0.0880Calculate the 3σ control limits for the R chart. Sketch R Control chart. Is the variance under control? If not, delete the samples that are out of control and re-compute ?̿ and ?̅. Sketch the new chart.Based on the sample range R, calculate the 3σ control limits for the ?̅ Sketch the chart. Based on the 3σ limits, is the process mean in control? If not, when is it first detected to be out of control?Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control?Repeat above parts a, b, and c, using the S chart in place of the R chart.need full answer as its only one question Q-3) Samples of eight bolts are taken periodically, and their diameters (in mm) are measured. Thefollowing table presents the means, ranges, and standard deviations for 25 consecutive samples.Sample12345678910111213141516171819202122232425X9.9910.0210.109.909.9210.059.979.9310.019.879.909.9710.029.999.9910.0410.0710.049.959.989.9810.029.9410.0410.04R0.280.430.160.260.220.400.080.480.250.290.390.270.200.370.200.260.230.350.250.150.300.140.240.130.24S0.090.130.050.090.070.150.030.150.090.100.140.080.070.130.060.090.070.120.090.060.100.060.070.040.07

Given data: Sample X¯ R S 1 9.99 0.28 0.09 2 10.02 0.43 0.13 3 10.1 0.16 0.05 4 9.9 0.26…

Answered: Graphs must be drawn using technology…

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

Graphs must be drawn using technology (Using a computer package such
as Excel)

The means are ?̿ = 9.9892,?̅ = 0.2628 ??? ?̅= 0.0880

Calculate the 3σ control limits for the R chart. Sketch R Control chart. Is the variance under control? If not, delete the samples that are out of control and re-compute ?̿ and ?̅. Sketch the new chart.
Based on the sample range R, calculate the 3σ control limits for the ?̅ Sketch the chart. Based on the 3σ limits, is the process mean in control? If not, when is it first detected to be out of control?
Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control?
Repeat above parts a, b, and c, using the S chart in place of the R chart.

need full answer as its only one question

Q-3) Samples of eight bolts are taken periodically, and their diameters (in mm) are measured. The
following table presents the means, ranges, and standard deviations for 25 consecutive samples.
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
X
9.99
10.02
10.10
9.90
9.92
10.05
9.97
9.93
10.01
9.87
9.90
9.97
10.02
9.99
9.99
10.04
10.07
10.04
9.95
9.98
9.98
10.02
9.94
10.04
10.04
R
0.28
0.43
0.16
0.26
0.22
0.40
0.08
0.48
0.25
0.29
0.39
0.27
0.20
0.37
0.20
0.26
0.23
0.35
0.25
0.15
0.30
0.14
0.24
0.13
0.24
S
0.09
0.13
0.05
0.09
0.07
0.15
0.03
0.15
0.09
0.10
0.14
0.08
0.07
0.13
0.06
0.09
0.07
0.12
0.09
0.06
0.10
0.06
0.07
0.04
0.07

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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