Use the following information for the next three questions: An operations manage
ID: 3324115 • Letter: U
Question
Use the following information for the next three 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.
A) From the output, write the equation of the regression equation that can be used to predict troubleshooting time.
B) Is there a significant relationship between time it takes to troubleshoot the process (minutes) and training received (use a = .05)? Give the appropriate test statistic. associated P-value, and conclusion.
Yes, there is a significant relationship between time it takes to troubleshoot the process (minutes) and training received at a = .05 because p-value is 0.000, it is very significant.
C) Construct a 95% confidence interval for troubleshooting time with 8 hours of training and interpret this interval with respect to estimated troubleshooting time.
Explanation / Answer
A) The regression equation that can be used to predict troubleshooting time is as follow
y = 30.729 - 1.8360 x
Where y = troubleshooting time
and x = amount of training.
B) Is there a significant relationship between time it takes to troubleshoot the process (minutes) and training received (use a = .05)? Give the appropriate test statistic. associated P-value, and conclusion.
Yes, there is a significance relationship between time it takes to troubleshoot the process (minutes) and training received ,
test statistic value = t = -13.35,
p- value = 0
Decision rule:
1) If p-value < level of significance (alpha) then we reject null hypothesis
2) If p-value > level of significance (alpha) then we fail to reject null hypothesis.
Here p value = 0 < 0.05 so we used first rule.
That is we reject the null hypothesis
Conclusion: At 5% level of significance there is a significance relationship between time it takes to troubleshoot the process (minutes) and training received ,