Question: A precision instrument is checked by making twelve readings on the same quantity. The population distribution of readings is normal. (a) The probability is .95

A precision instrument is checked by making twelve readings on the same quantity. The population distribution of readings is normal.

(a) The probability is .95 that the sample variance is more than what percentage of the population variance?

(b) The probability is 90 that the sample variance is more than what percentage of the population variance?

(c) Determine any pair of appropriate numbers a and b to complete the following sen- tence: The probability is 95 that the sample variance is between a% and 6% of the population variance.

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