Temperature is used to measure the output of a production process. When the proc

Question

Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is mu = 128.5 and the standard deviation is sigma = 4. a. Construct an x chart if samples of size 6 are to be used (to 2 decimals). UCL = LCL = b. Is the process in control for a sample providing the following data? 128.8 128.2 129.1 128.7 128.4 129.2 x = (to 2 decimals) Conclude that the process in control. c. Is the process in control for a sample providing the following data? 129.3 128.7 128.6 129.2 129.5 129.0 x = (to 2 decimals) Conclude that the process in control.

Explanation / Answer

for sample of size 6; std error of mean =std deviation/(n)1/2 =0.1633

hence UCL =,mean +3*std error =128.99

LCL=mean -3*std error =128.01

b)Xbar =128.73

as it is in b/w UCL and LCL the process is in control

c)Xbar=129.05

the process is not in control

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