Solved

A Machine That Is Supposed to Fill Small Bottles to Contain

Question 57

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 xˉ?\bar{x} ?
 Sample  bottle Volume (oz)  x Range 119.920.120.220.320.1250.4220.420.020.320.320.2500.4320.020.720.420.320.3500.7420.420.120.119.920.1250.5519.919.819.619.519.7000.4619.419.419.619.719.5250.3719.819.419.619.719.6250.4819.919.820.020.019.9250.2920.220.320.120.320.2250.21020.020.320.020.220.1250.31120.320.520.120.220.2750.41220.119.919.819.719.8750.41319.519.819.719.619.6500.31419.419.819.819.419.4000.41519.519.619.619.919.6500.4\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 milliliters 0.380 \text { milliliters }
B) 19.935 milliliters 19.935\text { milliliters }
C) 20.000 milliliters 20.000\text { milliliters }
D) 20.212 milliliters 20.212 \text { milliliters }

Correct Answer:

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