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Question : A process that is considered to be in control measures an ingredient in ounces. Below are the last ten samples (each of size n=5) taken. The population standard deviation is 1.36. SAMPLE 1 2 3 4 5 6 7 8 9 10 5 6 9 10 9 10 9 12 8 9 8 9 9 8 12 11 9 9 6 10 6 8 5 7 10 8 10 9 4 12 4 7 3 8 8 6 12 10 4 11 5 4 2 9 8 6 8 6 5 7 Using information from the above table: Calculate the standard deviation of the sample means, σ×. Determine the control limits for the mean chart, using A2 and σ× if z=3. Determine the control limits for the range chart. Construct mean (using A2) and range control charts by using information from (ii) and (iii). Comment on your results.
Question : A process that is considered to be in control measures an ingredient in ounces. Below are the last ten samples (each of size n=5) taken. The population standard deviation is 1.36. SAMPLE 1 2 3 4 5 6 7 8 9 10 5 6 9 10 9 10 9 12 8 9 8 9 9 8 12 11 9 9 6 10 6 8 5 7 10 8 10 9 4 12 4 7 3 8 8 6 12 10 4 11 5 4 2 9 8 6 8 6 5 7 Using information from the above table: Calculate the standard deviation of the sample means, σ×. Determine the control limits for the mean chart, using A2 and σ× if z=3. Determine the control limits for the range chart. Construct mean (using A2) and range control charts by using information from (ii) and (iii). Comment on your results.
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Question
Asked Apr 22, 2020
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Question :
A process that is considered to be in control measures an ingredient in ounces. Below are the last ten samples (each of size n=5) taken. The population standard deviation is 1.36.
SAMPLE
1
2
3
4
5
6
7
8
9
10
5
6
9
10
9
10
9
12
8
9
8
9
9
8
12
11
9
9
6
10
6
8
5
7
10
8
10
9
4
12
4
7
3
8
8
6
12
10
4
11
5
4
2
9
8
6
8
6
5
7
Using information from the above table:
Calculate the standard deviation of the sample means, σ×.
Determine the control limits for the mean chart, using A2 and σ× if z=3.
Determine the control limits for the range chart.
Construct mean (using A2) and range control charts by using information from (ii) and (iii).
Comment on your results.
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Expert Answer
Step 1
Note- We’ll answer the first three subparts of the question since the exact one wasn’t specified. Please submit a new question specifying the one you’d like answered.
Given data,
Samples
Observation
1
2
3
4
5
6
7
8
9
10
1
5
6
9
10
9
10
9
12
8
9
2
8
9
9
8
12
11
9
9
6
10
3
6
8
5
7
10
8
10
9
4
12
4
4
7
3
8
8
6
12
10
4
11
5
5
4
2
9
8
6
8
6
5
7
Step 2
The method of standard deviation is similar to the population standard deviation.
Operations Management homework question answer, step 2, image 1
The standard deviation of the sample mean can be calculated by the following formula.
Operations Management homework question answer, step 2, image 2
On substituting the given value in the formula.
Operations Management homework question answer, step 2, image 3
Hence, the standard deviation for the sample mean is 0.60
Step 3
Ans 2:
(x-bar) is calculated by calculating the average of given numbers in a column and Range is calculated by subtracting the largest value from the smallest value.
Samples
Observation
1
2
3
4
5
6
7
8
9
10
1
5
6
9
10
9
10
9
12
8
9
2
8
9
9
8
12
11
9
9
6
10
3
6
8
5
7
10
8
10
9
4
12
4
4
7
3
8
8
6
12
10
4
11
5
5
4
2
9
8
6
8
6
5
7
5.6
6.8
5.6
8.4
9.4
8.2
9.6
9.2
5.4
9.8
Range R
(8-4)
= 4
(9-4)
= 5
(9-2)
= 7
(10-7)
= 3
(12-8)
= 4
(11-6)
= 5
(12-8)
= 4
(12-6)
= 6
(8-4)
= 4
(12-7)
= 5
...
Explanation:
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