A cocoa packaging machine fills bags so that the bag contents have a standard deviation of 3.5 g. Weights of contents of bags are normally distributed. a) If a random sample of 20 bags gives a mean of 102.0 g, what are the 99% confidence limits for the mean weight of the population (i.e., all bags)? b) What sample size (how many bags) would have to be taken so that a person would be 95% confident that the population mean was not smaller than the sample mean minus I g?

A cocoa packaging machine fills bags so that the bag contents have a standard deviation of 3.5 g. Weights of contents of bags are normally distributed. a) If a random sample of 20 bags gives a mean of 102.0 g, what are the 99% confidence limits for the mean weight of the population (i.e., all bags)? b) What sample size (how many bags) would have to be taken so that a person would be 95% confident that the population mean was not smaller than the sample mean minus I g?

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Description: A cocoa packaging machine fills bags so that the bag contents have a standarddeviation of 3.5 g. Weights of contents of bags are normally distributed.a) If a random sample of 20 bags gives a mean of 102.0 g, what are the 99%confidence limits for the

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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A cocoa packaging machine fills bags so that the bag contents have a standard
deviation of 3.5 g. Weights of contents of bags are normally distributed.
a) If a random sample of 20 bags gives a mean of 102.0 g, what are the 99%
confidence limits for the mean weight of the population (ie., all bags)?
b) What sample size (how many bags) would have to be taken so that a person
would be 95% confident that the population mean was not smaller than the
sample mean minus 1 g?

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