The cereal lling machine known from last week's problem set has now been repaired and adjusted such that the standard deviation of the amount of cereal in each bag has decreased to the more reasonable 0.06 kg. But a new problem has appeared: Although the regulator's indicator is set to 2.0 kg, it seems that most bags are lled with more than 2 kg. To conrm or disprove the suspicion that the indicator is no longer pointing at µ, the expected amount of cereal, a sample of 10 bags is taken with the following result: 2.2 2.3 2.0 2.3 1.9 1.9 2.2 2.3 2.2 2.0 Find a 95% condence interval for µ. Should the regulator be adjusted?

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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. The cereal lling machine known from last week's problem set has now been repaired and adjusted such that the standard deviation of the amount of cereal in each bag has decreased to the more reasonable 0.06 kg. But a new problem has appeared: Although the regulator's indicator is set to 2.0 kg, it seems that most bags are lled with more than 2 kg. To conrm or disprove the suspicion that the indicator is no longer pointing at µ, the expected amount of cereal, a sample of 10 bags is taken with the following result: 2.2 2.3 2.0 2.3 1.9 1.9 2.2 2.3 2.2 2.0 Find a 95% condence interval for µ. Should the regulator be adjusted?
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