Question: It is extremely important in a certain chemical process that a solution to be used as a reactant have a pH level greater than 8.40. A method for determining pH that is available for solutions of this type is known to give measurements that are normally distributed with a mean equal to the actual pH and with a standard deviation of 0.05. Suppose 10 independent measurements yielded the following pH values: 8.30, 8.42, 8.44, 8.32, 8.43, 8.41, 8.42, 8.46, 8.37, 8.42

Suppose it is a very serious mistake to run the process with a reactant having a pH level less than or equal to 8.40.

1. What null hypothesis should be tested?
2. What is the alternative hypothesis?
3. Using the 5 percent level of significance, what would you advise—to use or not to use the solution?
4. What is the p value of the hypothesis test?

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