7. Twelve measurements of the percentage of water in a methanol solution yielded a sample mean û = 0.547 and a sample standard deviation ô = 0.032. (a) Find a 95% confidence interval for the percentage of water in the methanol solution. (b) Explain what exactly it means when we say that we are "95% confident" that the true mean u is in this interval.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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7. Twelve measurements of the percentage of water in a methanol solution
yielded a sample mean û = 0.547 and a sample standard deviation ô = 0.032.
(a) Find a 95% confidence interval for the percentage of water in the
methanol solution.
(b) Explain what exactly it means when we say that we are "95% confident"
that the true mean u is in this interval.
Transcribed Image Text:7. Twelve measurements of the percentage of water in a methanol solution yielded a sample mean û = 0.547 and a sample standard deviation ô = 0.032. (a) Find a 95% confidence interval for the percentage of water in the methanol solution. (b) Explain what exactly it means when we say that we are "95% confident" that the true mean u is in this interval.
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