Solution Found!
The data in the following table were collected for the
Chapter 13, Problem 11E(choose chapter or problem)
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.
Questions & Answers
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 =