question archive The manager of a cold beverage plant is redesigning the assembly line of filling bottles labeled as 1000 ml

The manager of a cold beverage plant is redesigning the assembly line of filling bottles labeled as 1000 ml

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The manager of a cold beverage plant is redesigning the assembly line of filling bottles labeled as 1000 ml. According to the government regulations, not more than 0.5% of the bottles should contain less amount of beverage than what is displayed on the label. For cost reasons, the manager wants to maintain the average amount of beverage filled at 1010 ml. Assume that the volume of beverage in the bottles is normally distributed. What standard deviation should the manager target so that the plant meets the regulatory requirement?

Select one:

A. 3.88

B. -3.88

 

Will the answer be 3.88 or -3.88?? Because the mean is 1010, the deviation has to be lower than 1000 and thus the Standard deviation will be negative?

Option 1

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