The data in the following table were collected for the

Chapter 13, Problem 11E

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QUESTION:

The data in the following table were collected for the purpose of constructing an \(\bar{x}\) chart.

a. Calculate \(\bar{x}\) and R for each sample.

b. Calculate \(\bar{x}\) and \(\bar{R}\).

c. Calculate and plot the centerline and the upper and lower control limits for the \(\bar{x}\) chart.

d. Calculate and plot the A, B, and C zone boundaries of the \(\bar{x}\) chart.

e. Plot the 20 sample means on the \(\bar{x}\) chart. Is the process in control? Justify your answer.

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QUESTION:

The data in the following table were collected for the purpose of constructing an \(\bar{x}\) chart.

a. Calculate \(\bar{x}\) and R for each sample.

b. Calculate \(\bar{x}\) and \(\bar{R}\).

c. Calculate and plot the centerline and the upper and lower control limits for the \(\bar{x}\) chart.

d. Calculate and plot the A, B, and C zone boundaries of the \(\bar{x}\) chart.

e. Plot the 20 sample means on the \(\bar{x}\) chart. Is the process in control? Justify your answer.

ANSWER:

Step 1 of 9

Here we have the data of 20 samples, which are collected for the constructing of an -

chart.

a)  We have to calculate the mean and range for each sample.

     By definitions, the mean is given as , k samples and the

     range of the sample is given as  =

     

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