Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is u= 124.5 and the standard deviation is a - 0.4. (a) Compute the upper and lower control limits if samples of size 6 are to be used. (Round your answers to two decimal places.) UCL - LCL - Construct the x chart for this process. 125.50 125.50- e 125,25 125.00 125.50 125.25 125.00- 125.30 - * 125.25 125.00 UCL. 125.25 UCI. UCL. 125.00 UCI. 124.75 124.50 124.25 124.00- 123.75- 124.75 124.50- 124.25 124.75 124.75 124.50 124.25 124.00- 124.50 124.25 LCL 124.00 LCL. 124.00 LCL. LCL. 123.75 123.75 123.75 8 10 2 6. 8 10 8 10 2. 8. 10 Sample Number Sample Number Sample Number Sample Number (b) Consider a sample providing the following data. 124.8 124.2 125.1 124.7 124.4 125.2 Compute the mean for this sample. (Round your answer to two decimal places.) Is the process in control for this sample? O Yes, the process is in control for the sample. O No, the process is out of control for the sample. (c) Consider a sample providing the following data. 125.3 124.7 124.6 125.2 125.5 129.0 Compute the mean for this sample. (Round your answer to two decimal places.) Is the process in control for this sample? O Yes, the process is in control for the sample. O No, the process is out of control for the sample. Sample Mean x

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Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is u = 124.5 and the standard deviation is o = 0.4.
(a) Compute the upper and lower control limits if samples of size 6 are to be used. (Round your answers to two decimal places.)
UCL =
LCL =
Construct the x chart for this process.
125.50 -
125.50 -
125.50 -
125.50 -
125.25
UCL
125.25
125.25 -
125.25
125.00
125.00 -
125.00
UCL
125.00 -
UCL
UCL
124.75
124.50
124.75
124.75
124.75
124.50
124.50
124.50
124.25
124.25
124.25
124.25
LCL
LCL
124.00
123.75
124.00
123.75 -
124.00
124.00
LCL
LCL
123.75 -
123.75
2
4
6.
10
2
4
6
8
10
4
8
10
2
4
6
8
10
Sample Number
Sample Number
Sample Number
Sample Number
(b) Consider a sample providing the following data.
124.8 124.2
125.1
124.7
124.4
125.2
Compute the mean for this sample. (Round your answer to two decimal places.)
x =
Is the process in control for this sample?
O Yes, the process is in control for the sample.
O No, the process is out of control for the sample.
(c) Consider a sample providing the following data.
125.3 124.7
124.6
129.0
125.2
125.5
Compute the mean for this sample. (Round your answer to two decimal places.)
x =
Is the process in control for this sample?
O Yes, the process is in control for the sample.
O No, the process is out of control for the sample.
Sample Mean X
Sample Mean x
Sample Mean x
Sample Mean X
Transcribed Image Text:Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is u = 124.5 and the standard deviation is o = 0.4. (a) Compute the upper and lower control limits if samples of size 6 are to be used. (Round your answers to two decimal places.) UCL = LCL = Construct the x chart for this process. 125.50 - 125.50 - 125.50 - 125.50 - 125.25 UCL 125.25 125.25 - 125.25 125.00 125.00 - 125.00 UCL 125.00 - UCL UCL 124.75 124.50 124.75 124.75 124.75 124.50 124.50 124.50 124.25 124.25 124.25 124.25 LCL LCL 124.00 123.75 124.00 123.75 - 124.00 124.00 LCL LCL 123.75 - 123.75 2 4 6. 10 2 4 6 8 10 4 8 10 2 4 6 8 10 Sample Number Sample Number Sample Number Sample Number (b) Consider a sample providing the following data. 124.8 124.2 125.1 124.7 124.4 125.2 Compute the mean for this sample. (Round your answer to two decimal places.) x = Is the process in control for this sample? O Yes, the process is in control for the sample. O No, the process is out of control for the sample. (c) Consider a sample providing the following data. 125.3 124.7 124.6 129.0 125.2 125.5 Compute the mean for this sample. (Round your answer to two decimal places.) x = Is the process in control for this sample? O Yes, the process is in control for the sample. O No, the process is out of control for the sample. Sample Mean X Sample Mean x Sample Mean x Sample Mean X
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