An Operations Manager Was Interested in Determining If There Is

question 13

Multiple Choice

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 trouble shoot 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 trouble shoot their last process problem were captured.The estimated
Regression equation fit to the data was found to be significant at α = 0.05.The 95%
Prediction interval for trouble shooting time with 8 hours of training was determined to
Be 12.822 to 19.261.The correct interpretation is

• A)We can be 95% confident that the trouble shooting time by a particular line worker
• B)We can be 95% confident that the average trouble shooting time by line workers
• C)The troubleshooting time by a line worker who received 8 hours of training will be
• D)95% of the time the average troubleshooting time is between 12.822 and 19.261
• E)We can be 95% confident that troubleshooting times will be between 12.822 and 19.261 minutes.

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Definitions:

Numerator

The top number in a fraction that represents the part of the whole being considered or counted.

Denominator

The bottom number in a fraction that represents the total number of equal parts the whole is divided into.

Degrees of Freedom

The number of independent values or quantities that can vary in an analysis without breaking any constraints, often associated with statistical calculations.

F-distribution

A probability distribution used in statistics to model the ratio of variances among variables, often utilized in the analysis of variance (ANOVA).