A machine is used to fill plastic bottle with purified water. Although each bottle is supposed to contain 300 mL of water, the amount of water actually placed by the machine into the bottles is normally distributed with a mean of 295 mL and a standard deviation of 3 mL. a. Find the mean of the sampling distribution of sample means and the standard error of the mean. b. Suppose the bottles are packed in groups of 10 bottles each. What is the probability that a randomly chosen pack will contain an average amount of water in between 294 and 297 mL of water?

A machine is used to fill plastic bottle with purified water. Although each bottle is supposed to contain 300 mL of water, the amount of water actually placed by the machine into the bottles is normally distributed with a mean of 295 mL and a standard deviation of 3 mL. a. Find the mean of the sampling distribution of sample means and the standard error of the mean. b. Suppose the bottles are packed in groups of 10 bottles each. What is the probability that a randomly chosen pack will contain an average amount of water in between 294 and 297 mL of water?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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