A Certain Manufacturing Process Has a Target Value of 1

question 43

Multiple Choice

A certain manufacturing process has a target value of 1.20 cm and a standard deviation of ±0.15 cm A sample of nine measurements is made each hour as follows. $$\begin{array} { l c c c c c c } \text { Hour } & 1 & 2 & 3 & 4 & 5 & 6 \\\\\text { Mean } & 1.30 & 1.15 & 1.10 & 1.08 & 1.11 & 1.25 \\\text { Hour } & 7 & 8 & 9 & 10 & 11 & 12 \\\\\text { Mean } & 1.15 & 1.07 & 1.18 & 1.16 & 1.12 & 1.08 \\\text { Hour } & 13 & 14 & 15 & 16 & 17 & 18 \\\\\text { Mean } & 1.25 & 1.12 & 1.21 & 1.26 & 1.50 & 1.30 \\\text { Hour } & 19 & 20 & 21 & 22 & 23 & 24 \\\\\text { Mean } & 1.26 & 1.29 & 1.19 & 1.17 & 1.15 & 1.31\end{array}$$ Draw a mean control chart using data from the table above.

---

Definitions:

Correlation Coefficient

A statistical index measuring the strength and direction of a linear relationship between two variables.

Average Error

A statistical measure that averages the absolute differences between the observed values and the values predicted by a model.

Independent Variable

The variable that is manipulated in an experiment to observe its effect on the dependent variable.

Dependent Variable

A variable in an experiment or model that is expected to change in response to changes in independent variables.