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5. A filament is inserted into the hole of a lens. A random sample of 15...

5. A filament is inserted into the hole of a lens. A random sample of 15 filaments is selected and provides an average diameter of 2.5 microns and a standard deviation of S = 0.8 microns.

a. Calculate the confidence interval for the variance with 95% confidence.

b. Calculate the confidence interval for the standard deviation.

c. If the filament diameter standard deviation is greater than 1.5 microns then the filament cannot enter the lens hole or is loose. Will there be a problem mounting the filament?

Math   Statistics-And-Probability   
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