A chemist is interested in the amount of impurities in a liquid that she could ...

  

A chemist is interested in the amount of impurities in a liquid that she could produce by a chemical process. She was concerned that the liquid would not be satisfactory for use if the impurity level went above 12. To test her process of making the liquid, she made 9 samples of the liquid and found the sample impurities had an average of 17 with a SD of 6. Carry out a test of the hypotheses H0 : µ ≤ 12 vs. H1 : µ > 12, where µ is the average impurity level for her process.

include:

a. the hypothesis (unless it’s given in the problem)

b. the test statistic

c. p-value

d. decision

e. conclusion