The concentration of a particular chemical in a processing plant is monitored regularly to check that it remains near the desired level of 8.25 mmol/L. Because of variability in the measurement system, this is checked by taking multiple samples over a short period of time and using the resulting measurements to carry out a formal statistical test. (The null hypothesis for this test is that the true mean concentration of the chemical is equal to the desired value, and you may assume that the measurements are Normally distributed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The concentration of a particular chemical in a processing plant is monitored regularly to
check that it remains near the desired level of 8.25 mmol/L. Because of variability in the measurement system, this is checked by taking multiple samples over a short period of time and using the
resulting measurements to carry out a formal statistical test. (The null hypothesis for this test is
that the true mean concentration of the chemical is equal to the desired value, and you may assume
that the measurements are Normally distributed.)

The latest sample of eight measurements gave a sample average concentration (X) of 8.13 mmol/L
and a sample standard deviation (s) of 0.16 mmol/L. Use this information and the statistical tables
provided on Canvas to carry out the statistical test mentioned above, and report on what evidence
(if any) there is to suggest that the mean concentration of the chemical has varied from the desired
level.

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