The weight of a usb flash drive is 30 grams and is normally distributed. periodically, quality control inspectors at dallas flash drives randomly select a sample of 17 usb flash drives. if the mean weight of the usb flash drives is too heavy or too light the machinery is shut down for adjustment; otherwise, the production process continues. the last sample showed a mean and standard deviation of 31.9 and 1.8 grams, respectively. using a = 0.10, the appropriate decision is _______.?

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10-08-2018
Mathematics

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The weight of a usb flash drive is 30 grams and is normally distributed. periodically, quality control inspectors at dallas flash drives randomly select a sample of 17 usb flash drives. if the mean weight of the usb flash drives is too heavy or too light the machinery is shut down for adjustment; otherwise, the production process continues. the last sample showed a mean and standard deviation of 31.9 and 1.8 grams, respectively. using a = 0.10, the appropriate decision is _______.?

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plazas94 plazas94 · Answer 1 · 2018-08-15T06:45:17+02:00

Standard deviation refers to how high or low a number is from the average. In this case that number is 1.8 grams. Although not stated as clearly, I can assume that it is says that the standard deviation is .10 or 10% from the mean.

We find 10% of 31.9 and get 3.19 (move the decimal to the left). 1.8 grams is less than 3.19 so the appropriate decision is to keep the production process flowing.