Use the Given Process Data to Construct a Control Chart

question 4

Essay

Use the given process data to construct a control chart for p
-A machine is supposed to fill boxes to a weight of 50 lbs. Every 30 minutes a sample of four boxes is tested; the results are given below. $\begin{array}{l|llll|l|l}S&&&A&&M&R\\\hline1 & 49 & 38 & 39 & 45 & 42.75 & 11 \\2 & 52 & 51 & 43 & 6 & 51.75 & 18 \\3 & 56 & 60 & 32 & 52 & 50 & 28\\4 & 44 & 59 & 46 & 49 & 49.5 & 15 \\5 & 51 & 61 & 48 & 45 & 51.25 & 16 \\6 & 45 & 50 & 46 & 48& 47.25 & 5 \\7 & 52 & 51 & 45 & 55& 50.75 & 10\\8 & 40 & 50 & 53 & 48 & 47.75 & 13 \\9 & 48 & 67 & 60 & 51 & 56.5 & 19 \\10 & 43 & 50 & 50 & 47 & 47.5 & 7 \\11 & 48 & 30 & 38 & 39 & 38.75 & 18\\12 & 50 & 46 & 48 & 53 & 49.25 & 7 \\13 & 50 & 58 & 56 & 64 & 57 & 14 \\14 & 47 & 52 & 47 & 49&48.75 & 5 \\15 & 52 & 57 & 58 & 52&54.75 & 6\\\end{array}$

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Definitions:

Mortgage

A loan specifically used to purchase real estate, where the property serves as collateral until the debt is fully repaid.

Interest Rate

The proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage.

Payments

Money transferred by one party to another in exchange for goods, services, or to fulfill any other financial obligation.

Monthly Compounding

The process where interest on an investment or loan is calculated and added to the principal sum every month.