Q1. (25 points) Hypothesis Testing. To monitor complex chemical processes, chemical engineers will consider key process indicators, which may be just yield but most often depend on several qualities. Before trying to improve a process, n = 8 measurements were made on a key performance indicator. 136 106 114 128 113 109 120 102 a. If you wanted to show that the mean key performarke indicator is different from the true mean of = 105, your null and alternative hypothesis would be: Ho and H: for your test. b. What is the appropriate decision parameter if you are testing at the a = 0.05 level of significance (under what conditions will you reject the null)? c. Determine the sample statistic for the data using the test data. (Note: you must determine the sample mean and sample standard deviation using the data given) d. Is there sufficient evidence at the 95% level of confidence to reject and null and conclude that the key performance indicator is different from the true mean? Explain why or why not.