To determine if their 1.001.00 centimeter washers are properly adjusted, Reeves Inc. has decided to use an x‾x‾-Chart which uses the range to estimate the variability in the sample. Average Value = 1.010 Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places. Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places. Step 3 of 7: What is the Lower Control Limit? Round your answer to three decimal places. Step 4 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.09,1.09,1.05,1.06,1.021.09,1.09,1.05,1.06,1.02 Sample Mean: 1.0621.062 Step 5 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.03,1.08,1.06,1.01,1.091.03,1.08,1.06,1.01,1.09 Sample Mean: 1.0541.054 Step 6 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.02,0.98,0.97,1.02,0.981.02,0.98,0.97,1.02,0.98 Sample Mean: 0.9940.994 Step 7 of 7: Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places. Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range 1 1.01 1.00 0.98 0.98 1.03 1.0000 0.05 2 0.97 0.99 0.95 0.96 1.03 0.9800 0.08 3 1.03 0.98 1.02 1.03 1.01 1.0140 0.05 4 0.97 0.98 1.04 1.02 0.96 0.9940 0.08 5 1.05 1.00 0.98 0.96 1.02 1.0020 0.09 6 1.05 1.01 1.01 0.99 0.99 1.0100 0.06 7 1.04 0.98 1.02 1.00 0.97 1.0020 0.07 8 1.05 0.97 1.03 0.96 0.96 0.9940 0.09 9 0.96 0.99 1.05 0.97 1.05 1.0040 0.09 10 0.95 0.99 1.03 1.02 1.03 1.0040 0.08 11 1.05 0.98 1.02 1.01 1.01 1.0140 0.07 12 1.05 1.02 0.99 0.99 0.99 1.0080 0.06 13 0.96 0.97 0.99 1.00 0.98 0.9800 0.04 14 0.98 1.05 1.01 1.05 1.01 1.0200 0.07 15 1.02 1.01 0.98 1.04 1.01 1.0120 0.06 16 1.04 1.04 1.01 1.00 1.02 1.0220 0.04 17 0.96 1.04 1.02 1.01 1.01 1.0080 0.08 18 1.01 1.02 1.00 1.03 1.02 1.0160 0.03 19 1.02 1.02 1.02 1.00 1.01 1.0140 0.02 20 1.04 1.00 1.03 1.02 0.99 1.0160 0.05

To determine if their 1.001.00 centimeter washers are properly adjusted, Reeves Inc. has decided to use an x‾x‾-Chart which uses the range to estimate the variability in the sample. Average Value = 1.010 Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places. Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places. Step 3 of 7: What is the Lower Control Limit? Round your answer to three decimal places. Step 4 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.09,1.09,1.05,1.06,1.021.09,1.09,1.05,1.06,1.02 Sample Mean: 1.0621.062 Step 5 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.03,1.08,1.06,1.01,1.091.03,1.08,1.06,1.01,1.09 Sample Mean: 1.0541.054 Step 6 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.02,0.98,0.97,1.02,0.981.02,0.98,0.97,1.02,0.98 Sample Mean: 0.9940.994 Step 7 of 7: Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places. Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range 1 1.01 1.00 0.98 0.98 1.03 1.0000 0.05 2 0.97 0.99 0.95 0.96 1.03 0.9800 0.08 3 1.03 0.98 1.02 1.03 1.01 1.0140 0.05 4 0.97 0.98 1.04 1.02 0.96 0.9940 0.08 5 1.05 1.00 0.98 0.96 1.02 1.0020 0.09 6 1.05 1.01 1.01 0.99 0.99 1.0100 0.06 7 1.04 0.98 1.02 1.00 0.97 1.0020 0.07 8 1.05 0.97 1.03 0.96 0.96 0.9940 0.09 9 0.96 0.99 1.05 0.97 1.05 1.0040 0.09 10 0.95 0.99 1.03 1.02 1.03 1.0040 0.08 11 1.05 0.98 1.02 1.01 1.01 1.0140 0.07 12 1.05 1.02 0.99 0.99 0.99 1.0080 0.06 13 0.96 0.97 0.99 1.00 0.98 0.9800 0.04 14 0.98 1.05 1.01 1.05 1.01 1.0200 0.07 15 1.02 1.01 0.98 1.04 1.01 1.0120 0.06 16 1.04 1.04 1.01 1.00 1.02 1.0220 0.04 17 0.96 1.04 1.02 1.01 1.01 1.0080 0.08 18 1.01 1.02 1.00 1.03 1.02 1.0160 0.03 19 1.02 1.02 1.02 1.00 1.01 1.0140 0.02 20 1.04 1.00 1.03 1.02 0.99 1.0160 0.05

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

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Step 1 of 7:

What is the Center Line of the control chart? Round your answer to three decimal places.

Step 2 of 7:

What is the Upper Control Limit? Round your answer to three decimal places.

Step 3 of 7:

What is the Lower Control Limit? Round your answer to three decimal places.

Step 4 of 7:

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 1.09,1.09,1.05,1.06,1.021.09,1.09,1.05,1.06,1.02
Sample Mean: 1.0621.062

Step 5 of 7:

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 1.03,1.08,1.06,1.01,1.091.03,1.08,1.06,1.01,1.09
Sample Mean: 1.0541.054

Step 6 of 7:

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 1.02,0.98,0.97,1.02,0.981.02,0.98,0.97,1.02,0.98
Sample Mean: 0.9940.994

Step 7 of 7:

Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places.

Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range
1 1.01 1.00 0.98 0.98 1.03 1.0000 0.05
2 0.97 0.99 0.95 0.96 1.03 0.9800 0.08
3 1.03 0.98 1.02 1.03 1.01 1.0140 0.05
4 0.97 0.98 1.04 1.02 0.96 0.9940 0.08
5 1.05 1.00 0.98 0.96 1.02 1.0020 0.09
6 1.05 1.01 1.01 0.99 0.99 1.0100 0.06
7 1.04 0.98 1.02 1.00 0.97 1.0020 0.07
8 1.05 0.97 1.03 0.96 0.96 0.9940 0.09
9 0.96 0.99 1.05 0.97 1.05 1.0040 0.09
10 0.95 0.99 1.03 1.02 1.03 1.0040 0.08
11 1.05 0.98 1.02 1.01 1.01 1.0140 0.07
12 1.05 1.02 0.99 0.99 0.99 1.0080 0.06
13 0.96 0.97 0.99 1.00 0.98 0.9800 0.04
14 0.98 1.05 1.01 1.05 1.01 1.0200 0.07
15 1.02 1.01 0.98 1.04 1.01 1.0120 0.06
16 1.04 1.04 1.01 1.00 1.02 1.0220 0.04
17 0.96 1.04 1.02 1.01 1.01 1.0080 0.08
18 1.01 1.02 1.00 1.03 1.02 1.0160 0.03
19 1.02 1.02 1.02 1.00 1.01 1.0140 0.02
20 1.04 1.00 1.03 1.02 0.99 1.0160 0.05

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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