Question: A laboratory scale is known to have a standard deviation of = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed,

A laboratory scale is known to have a standard deviation of= 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. Three weighings of a specimen on this scale give 3.412, 3.416, and 3.414 grams.

Another specimen is weighed 8 times on this scale. The average weight is 4.1602 grams. A 99% confidence interval for the true weight of this specimen is:

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