A study of pollutants showed that certain industrial emissions should not exceed 2.5 parts per million. You believe a particular company may be exceeding this average. To test this supposition, you randomly take a sample of nine air tests. The sample average is 3.4 parts per million, with a sample standard deviation of 0.6. Does this result provide enough evidence for you to conclude that the company is exceeding the safe limit? Use a level of significance of 0.01. Assume emissions are normally distributed.
a. State the null hypothesis in symbolic form. Ho:
b. State the alternative hypothesis in symbolic form. Ha:
c. The critical value =
d. The value of the test statistic =
e. What are the decision and conclusion of the test in the context of the problem?