The filling machine at a bottling plant is operating correctly when the variance of the fill amount is equal to 0.3 ounces. Assume that the fill amounts follow a normal distribution. (A) What is the probability that for a sample of 30 bottles, the sample variance is greater than 0.5? (B) What is the limit of sample variance such that the probability of sample variance of a sample of 30 bottles is small than this limit is 0.10?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.