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Sindrei [870]
3 years ago
6

Construct a control chart for the Lard-O example using 3 sigma limits if samples of size 10 are randomly selected from the proce

ss. The center line is ____. The standard deviation of the sample mean is ____. The UCL
Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:

The UCL is <u>3.636</u> and the LCL is <u>2.964</u>.

Step-by-step explanation:

The complete question is:

Construct a control chart for the Lard-O example using 3 sigma limits if samples of size 10 are randomly selected from the process. The center line is 3.3. The standard deviation of the sample mean is 0.112. The UCL = ____. The LCL = ____.

Solution:

The control chart is a graphical display used to study how a process changes over time. The data are plotted in time order.  

The parts of a control chart are a central line for the average, an upper line for the upper control limit, and a lower line for the lower control limit.  

These lines are formed using the historical data.

The information provided is:

Center line = <em>m</em> = 3.3

Standard deviation = <em>s</em> = 0.112

Compute the 3σ upper control limit as follows:

\text{UCL}=m+3s

        =3.3+(3\times 0.112)\\=3.636

Compute the 3σ lower control limit as follows:

\text{LCL}=m-3s

        =3.3-(3\times 0.112)\\=2.964

Thus, the UCL is <u>3.636</u> and the LCL is <u>2.964</u>.

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