Production Department of NDB Electronics
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The production department of NDB Electronics wants to explore the relationship between the number of employees who assemble a sub-assembly and the number produced. As an experiment, two employees were assigned to assemble the sub-assemblies. They produced 15 during a one-hour period. Then four employees assembled them. They produced 25 a one-hour period. The complete set of paired observations follows.
Number of Assemblers One- Hour Production (units)
2 15
4 25
1 10
5 40
3 30
The dependent variable is production; that is assumed that the level of production depends upon the number of employees.
a. Draw a scatter diagram.
b. Based on the scatter diagram, does there appear to be any relationship between the number assemblers and production? Explain.
c. Compute the coefficient of correlation.
d. Evaluate the strength of the relationship by computing the coefficient of determination.
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Solution Summary
This solution involves drawing a scatter diagram and computing coefficients of correlation to evaluate the strength of the relationship. All steps are shown with brief explanations.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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