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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 : Confidence interval for population standard deviation

In developing a confidence interval for the population standard deviation, ? , we make use of the fact that the sampling distribution of the sample standard deviation s is not the normal distribution or the t-distribution