8. To reach maximum efficiency in performing an assembly operation in a manufacturing plant, new employees require approximately 1-month training period. A new method of training was suggested, and a test was conducted to compare the new method with the standard procedure. The length of time (in minutes) required for each employee to assemble the device was recorded at the end of the 3-week period and the summary results are given below: Standard New Sample size 9. 9. Sample Mean 35.22 31.56 Sample Variance 24.445 20.027 Do you need to make any assumption to obtain the confidence interval for the difference of the mean times of assembling the devices in standard and new procedures? Explain clearly why? Based on your assumption, find a 95% confidence interval for this. Comment on your finding. Justify your method that you used to obtain the interval.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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8. To reach maximum efficiency in performing an assembly operation in a manufacturing plant,
new employees require approximately 1-month training period. A new method of training
was suggested, and a test was conducted to compare the new method with the standard
procedure. The length of time (in minutes) required for each employee to assemble the
device was recorded at the end of the 3-week period and the summary results are given
below:
Standard
New
Sample size
9.
9.
Sample Mean
35.22
31.56
Sample Variance
24.445
20.027
Do you need to make any assumption to obtain the confidence interval for the difference of
the mean times of assembling the devices in standard and new procedures? Explain clearly
why? Based on your assumption, find a 95% confidence interval for this. Comment on your
finding. Justify your method that you used to obtain the interval.
Transcribed Image Text:8. To reach maximum efficiency in performing an assembly operation in a manufacturing plant, new employees require approximately 1-month training period. A new method of training was suggested, and a test was conducted to compare the new method with the standard procedure. The length of time (in minutes) required for each employee to assemble the device was recorded at the end of the 3-week period and the summary results are given below: Standard New Sample size 9. 9. Sample Mean 35.22 31.56 Sample Variance 24.445 20.027 Do you need to make any assumption to obtain the confidence interval for the difference of the mean times of assembling the devices in standard and new procedures? Explain clearly why? Based on your assumption, find a 95% confidence interval for this. Comment on your finding. Justify your method that you used to obtain the interval.
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