In a bottling plant, the filling machine works properly when the variance of filling amount equals 0.3 ounces. Filling amounts are assumed to conform to the normal distribution. For a sample of 30 bottles a) What is the probability that the sample variance is greater than 0.5? b) What is the probability that the sample standard deviation is less than 0.10?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a bottling plant, the filling machine works properly when the variance of filling amount equals 0.3 ounces. Filling amounts are assumed to conform to the normal distribution. For a sample of 30 bottles

a) What is the probability that the sample variance is greater than 0.5?

b) What is the probability that the sample standard deviation is less than 0.10?

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