Use the Given Process Data to Construct a Control Chart

question 21

Essay

Use the given process data to construct a control chart for p
-A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.
$\begin{array}{l|lllll|l|l}S&&&A&&&M&R\\\hline1&6.3&6.8&6.9&6.8&6.9&6.74&0.5\\2 & 6.3 & 6.6 & 6.6 & 6.3 & 7.0&6 .56 & 0.7 \\3 & 6.8 & 6.7 & 7.0 & 6.5 & 7.0 & 6.8 & 0.5\\4 & 7.0 & 6.7 & 6.7 & 6.8 & 6.8 & 6.8 & 0.3 \\5 & 6.8 & 6.8 & 6.6 & 6.5 & 6.4&6 .62 & 0.4 \\6 & 6.8 & 6.7 & 6.6 & 6.3 & 6.9&6 .66 & 0.6\\7 & 7.3 & 7.3 & 7.4 & 7.4 & 7.0&7 .28 & 0.4 \\8 & 7.2 & 7.0 & 7.2 & 6.9 & 7.1&7 .08 & 0.3 \\9 & 7.3 & 7.6 & 7.1 & 7.4 & 7.6 & 7.4 & 0.5\\10 & 7.2 & 7.6 & 7.5 & 7.6 & 7.1 & 7.4 & 0.5 \\11 & 7.2 & 7.2 & 7.4 & 7.0 & 7.0&7 .16 & 0.4 \\12 & 7.5 & 7.4 & 7.4 & 7.6 & 7.1 & 7.4 & 0.5\\\end{array}$

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Definitions:

Current Balance

The total amount of money in an account or owed on a loan at any given moment, including principal, interest, and any fees.

Interest Rate

The proportion of a loan or savings amount that is charged or paid as interest to the borrower or saver.

Compounded Monthly

The monthly exercise of determining interest by applying it to the initial principal amount as well as to the interest that has been accumulated over preceding periods.

Accrued Interest

Interest that has been incurred but not yet paid.