Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is 125.5 and the standard deviation is 0.5. (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. 126.50+ 126.25- 126.00 125.75- 125.50 125.25 125.00- 124.75 2 6 Sample Number 8 UCL LCL (c) Consider a sample providing the following data. 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. 10 (b) Consider a sample providing the following data. 125.8 125.2 126.1 125.7 126.1 125.7 125.4 126.2 Compute the mean for this sample. (Round your answer to two decimal places.) x=[ 126.50- 126.25 126.00 125.75 125.50- 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. 125.25 125.00 124.75 126.3 125.7 125.6 126.2 126.5 129.0 Compute the mean for this sample. (Round your answer to two decimal places.) x= 2 4 6 Sample Number 8 UCL LCL 10 126.50 126.25 126.00 125.75- 125.50 125.25 125.00 124.75 2 4 6 Sample Number 8 UCI. LCL 10 126.50- 126.25- 126.00 125.75 125.50 125.25 125.00 124.75 2 4 6 Sample Number 8 UCL LCL + 10 Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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 = 125.5 and the standard deviation is a = 0.5.
(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.
126.50-
126.25
126.00
125.75
125.50
125.25
125.00
124.75
Sample Mean x
2
4
6
Sample Number
8
(b) Consider a sample providing the following data.
UCL
LCL
125.8 125.2 126.1 125.7 125.4 126.2
(c) Consider a sample providing the following data.
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.
+
10
Compute the mean for this sample. (Round your answer to two decimal places.)
x =
126.3 125.7 125.6 126.2 126.5 129.0
Sample Mean>
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.
126.50
126.25-
126.00
125.75-
125.50
125.25
125.00
124.75
Compute the mean for this sample. (Round your answer to two decimal places.)
x =
2
4
6
Sample Number
8
UCL
LCL
+
10
Sample Mean x
O
126.50-
126.25
126.00
125.75
125.50
125.25
125.00
124.75
2
4
6
Sample Number
8
UCL
LCL
+
10
Sample Mean x
126.50
126.25-
126.00-
125.75-
125.50
125.25
125.00
124.75
2
4
6
Sample Number
8
UCL
LCL
+
10
Ⓡ
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 = 125.5 and the standard deviation is a = 0.5. (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. 126.50- 126.25 126.00 125.75 125.50 125.25 125.00 124.75 Sample Mean x 2 4 6 Sample Number 8 (b) Consider a sample providing the following data. UCL LCL 125.8 125.2 126.1 125.7 125.4 126.2 (c) Consider a sample providing the following data. 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. + 10 Compute the mean for this sample. (Round your answer to two decimal places.) x = 126.3 125.7 125.6 126.2 126.5 129.0 Sample Mean> 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. 126.50 126.25- 126.00 125.75- 125.50 125.25 125.00 124.75 Compute the mean for this sample. (Round your answer to two decimal places.) x = 2 4 6 Sample Number 8 UCL LCL + 10 Sample Mean x O 126.50- 126.25 126.00 125.75 125.50 125.25 125.00 124.75 2 4 6 Sample Number 8 UCL LCL + 10 Sample Mean x 126.50 126.25- 126.00- 125.75- 125.50 125.25 125.00 124.75 2 4 6 Sample Number 8 UCL LCL + 10 Ⓡ
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