At Canon Food Corporation, it used to take an average of 80 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is less than 85 minutes. A sample of 20 workers showed that it took, on average, 75 minutes for them to learn the food processing procedure on the new machine with standard deviation of 5 minutes. It is known that the learning times for all new workers are normally distributed. Test at 1% level of significance that the mean learning time for the food processing procedure on the new machine is less than 80 minutes.

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Author:Amos Gilat
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Bus-173 (Applied Statistics)

Q1. At Canon Food Corporation, it used to take an average of 80 minutes for new workers to learn a food
processing job. Recently the company installed a new food processing machine. The supervisor at the
company wants to find if the mean time taken by new workers to learn the food processing procedure on
this new machine is less than 85 minutes. A sample of 20 workers showed that it took, on average, 75
minutes for them to learn the food processing procedure on the new machine with standard deviation of
5 minutes. It is known that the learning times for all new workers are normally distributed. Test at 1% level
of significance that the mean learning time for the food processing procedure on the new machine is less
than 80 minutes.
Transcribed Image Text:Q1. At Canon Food Corporation, it used to take an average of 80 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is less than 85 minutes. A sample of 20 workers showed that it took, on average, 75 minutes for them to learn the food processing procedure on the new machine with standard deviation of 5 minutes. It is known that the learning times for all new workers are normally distributed. Test at 1% level of significance that the mean learning time for the food processing procedure on the new machine is less than 80 minutes.
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