# Question

A precision instrument is checked by making 12 readings on the same quantity. The population distribution of readings is normal.
a. The probability is 0.95 that the sample variance is more than what percentage of the population variance?
b. The probability is 0.90 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 sentence: The probability is 0.95 that the sample variance is between a% and b% of the population variance.

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