A Machine That Is Supposed to Fill Small Bottles to Contain

question 97

Multiple Choice

A machine that is supposed to fill small bottles to contain 20 milliliters yields the following data from a test of 4 bottles every hour. What would be the centerline for a control chart for $\bar{x} ?$
$\begin{array}{c|cccc|c|l}\text { Sample } &&&{\text { bottle Volume (oz) }} && \overline{\boldsymbol{x}} & \text { Range } \\\hline1 & 19.9 & 20.1 & 20.2 & 20.3 & 20.125 & 0.4 \\2 & 20.4 & 20.0 & 20.3 & 20.3 & 20.250 & 0.4 \\3 & 20.0 & 20.7 & 20.4 & 20.3 & 20.350 & 0.7 \\4 & 20.4 & 20.1 & 20.1 & 19.9 & 20.125 & 0.5 \\5 & 19.9 & 19.8 & 19.6 & 19.5 & 19.700 & 0.4 \\6 & 19.4 & 19.4 & 19.6 & 19.7 & 19.525 & 0.3 \\7 & 19.8 & 19.4 & 19.6 & 19.7 & 19.625 & 0.4 \\8 & 19.9 & 19.8 & 20.0 & 20.0 & 19.925 & 0.2 \\9 & 20.2 & 20.3 & 20.1 & 20.3 & 20.225 & 0.2 \\10 & 20.0 & 20.3 & 20.0 & 20.2 & 20.125 & 0.3 \\11 & 20.3 & 20.5 & 20.1 & 20.2 & 20.275 & 0.4 \\12 & 20.1 & 19.9 & 19.8 & 19.7 & 19.875 & 0.4 \\13 & 19.5 & 19.8 & 19.7 & 19.6 & 19.650 & 0.3 \\14 & 19.4 & 19.8 & 19.8 & 19.4 & 19.400 & 0.4 \\15 & 19.5 & 19.6 & 19.6 & 19.9 & 19.650 & 0.4\end{array}$

• A) \(0.380 \text { milliliters }\)
• B) \(19.935\text { milliliters }\)
• C) \(20.000\text { milliliters }\)
• D) \(20.212 \text { milliliters }\)

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