In a laboratory, a new cleaning method is being tested which focuses on reducing the three dominant sources of oil concentrations in the production water. 16 independent samples of the oil concentration are taken using this cleaning method, and these samples turn out to have an average of 19.8 mg/l. It can be assumed that the measurements are independent and normally distributed with unknown expectation μ and known standard deviation o = 3.4 mg/l. a) Find a 95% confidence interval for μ. b) How many measurements did one have to make to get a confidence interval with a length of at most 2 mg/l?
In a laboratory, a new cleaning method is being tested which focuses on reducing the three dominant sources of oil concentrations in the production water. 16 independent samples of the oil concentration are taken using this cleaning method, and these samples turn out to have an average of 19.8 mg/l. It can be assumed that the measurements are independent and normally distributed with unknown expectation μ and known standard deviation o = 3.4 mg/l. a) Find a 95% confidence interval for μ. b) How many measurements did one have to make to get a confidence interval with a length of at most 2 mg/l?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:In a laboratory, a new cleaning method is being tested which focuses on reducing the three
dominant sources of oil concentrations in the production water. 16 independent samples of the oil
concentration are taken using this cleaning method, and these samples turn out to have an average
of 19.8 mg/l. It can be assumed that the measurements are independent and normally distributed
with unknown expectation u and known standard deviation o = 3.4 mg/l.
a) Find a 95% confidence interval for μ.
b) How many measurements did one have to make to get a confidence interval with a length
of at most 2 mg/l?
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