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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

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Answer #1

a)

Answer: Option 2 is correct.

Explanation: The control limits are defined as,

Upper Control Limit (UCL) = X +z-

Lower Control Limit (LCL) =X - Vn

Where,

X122.5

g0.4

number of standard deviation 3

0.4 122.9899 Upper Control Limit (UCL) = 122.5 +3 x

0.4 Lower Control Limit (LCL) =122.5 3 x 122.0101

b)

Answer: Yes, the process is in control for the sample

Explanation: The sample is obtained using the formula,

ΣΧ 122.8122.2 123.1122.7122.4123.2 Χ 6

X122.7333

The sample is within the control limit hence process is in control for the sample.

c)

Answer: No, the process is out of control for the sample

Explanation: The sample is obtained using the formula,

123.3122.7122.6123.2 123.5129 6

X124.05

The sample is outside the control limit hence process is out of control for the sample.

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