Quiz 14 (2 pages)
(This could replace one of your lowest quizzes)
In a certain chemical process, it is very important that a particular solution that is to be used as a
reactant have a pH of exactly 8.20. A method for determining pH that is available for solutions
of this type is known to give measurements that are normally distributed with mean equal to the
actual pH and with a standard deviation of 0.03. Suppose 36 independent measurements yielded
a sample mean pH of 8.19.
1) Conduct a test to determine if the pH is less than 8.20 at significance level 0.05 using rejection
region approach. (Make sure you specify H0, H1, explain parameter µ, and then calculate test
statistic and give the rejection region, at last state final conclusion in the context of the
problem.)
