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Suppose you are told that a company has produced widgets that have a normally distributed weight with mean of 74.5 ounces and a standard deviation of 3.1 ounces.
Choose a number randomly from 60 to 90 and determine the corresponding z-score.
Write a response to the following questions:
If they consider a widget defective when it is 3 or more standard deviations from the mean, what would be the lowest and highest weight still accepted?
How do you think the company knew the weights of their widgets were normally distributed?
If the weights of the widgets were actually skewed left, how would that impact your previous responses?
When you determined your z-score based on the random number, what did that number actually mean? What would the company do with the widget based on your random number?
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