A new method for the analysis of mercury was in an ore sample was tested and obtained the following data: Trial % Hg 1 12.76 2 12.57 3 12.72 4 12.79 5 12.76 Average: 12.72 St. Deviation:  0.08746 The standard method for mercury analysis was also used to test the ore.  Is the mean value of the new method significantly different from the mean value of the accepted value at the 95% confidence interval?   You may assume the standard deviations are the same. Accepted Method Results # of samples = 6 Average = 12.63% Hg Standard deviation = 0.053

Fundamentals Of Analytical Chemistry
9th Edition
ISBN:9781285640686
Author:Skoog
Publisher:Skoog
Chapter7: Statistical Data Treatment And Evaluation
Section: Chapter Questions
Problem 7.13QAP
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A new method for the analysis of mercury was in an ore sample was tested and obtained the following data:

Trial

% Hg

1

12.76

2

12.57

3

12.72

4

12.79

5

12.76

Average: 12.72

St. Deviation:  0.08746

The standard method for mercury analysis was also used to test the ore.  Is the mean value of the new method significantly different from the mean value of the accepted value at the 95% confidence interval?   You may assume the standard deviations are the same.

Accepted Method Results

# of samples = 6

Average = 12.63% Hg

Standard deviation = 0.053

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