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.

Answer 1

Answer:

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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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