Confused As to How You Derived the Case Study

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confused as to how you derived the population mean of 1 +/- .010, as the population mean (not the sample average mean) is given as 1.008. Also, the customer needs the sample mean to be within 90% of one inch (1 +/- .1, not 1 +/- .01); a simple analysis of the normal distribution based around a mean of 1.008 inches shows that this would easily be accomplished, as more than 90% of the data would be within two standard deviations, which is within the acceptable range.

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At least, this is how I interpret the question. Your answer doesn't seem to be wrong, mathematically speaking, although I think your calculation of P. is too high (it's above 90%, but I'm not sure it's above 95% and certainly not above 99%).

Case 2,

This math seems to check out, but again you're using a population mean of 1 +/- .010 and I'm not sure why. Not only is the population mean given as 1.008, but this.....

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