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an Operations Manager Was $= 30.7 - 1.84$

question 17

Essay

Use the following for questions
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Below are the scatterplot, regression results, and residual plots for these data. The regression equation is
Trouble Shooting $= 30.7 - 1.84$ Training
$\begin{array} { l r r r r } \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\ \text { Constant } & 30.729 & 1.023 & 30.03 & 0.000 \\ \text { Training } & - 1.8360 & 0.1376 & - 13.35 & 0.000 \end{array}$
$$S = 1.43588 \quad \mathrm { R } - \mathrm { Sq } = 93.2 \text { \% } \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } ) = 92.7 \text { \% }$$
Analysis of Variance
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Regression } & 1 & 367.20 & 367.20 & 178.10 & 0.000 \\ \text { Residual Error } & 13 & 26.80 & 2.06 & & \\ \text { Total } & 14 & 394.00 & & & \end{array}$


-Is there a significant relationship between time it takes to troubleshoot the process(minutes) and training received (use α = .05)? Give the appropriate test statistic,associated P-value, and conclusion.

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Definitions:

Extraneous Variable

Any variable that is not intentionally studied within an experiment that can affect the outcome of the research if not controlled.

Dependent Variable

The variable in an experiment that is observed and measured to see how it is affected by the independent variable.

Operational Definition

A clear, detailed description of how a research variable is measured or manipulated in a specific study, allowing others to understand or replicate the methodology.

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