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Screws and a standard deviation

Mean (µ ) of 250 screws and a standard deviation (? ) of 8.30.

Find the probability that production will go below 238 screws.

Find the probability that the production will go beyond 270 screws.

What proportion of the production will fall between 230 and 265 screws?

If 80% of the time our construction is X screws or less." What is the figure we use for X?

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## Q : Differences between hourly production outputs

Construct a 95% confidence interval and determine whether the modified (after) layout has increased average worker productivity. Assume that the differences between hourly production outputs are normally distributed.