The yield of a chemical process is being studied. From previous experience, the yield is known to be normally distributed with σ = 3. The past 5 days of plant operation have resulted in the following percent yield: 91.6, 88.75, 90.8, 89.95, and 91.3.
Find:
i. A 95% two-sided confidence interval of the true mean.
ii. A 95% upper-sided confidence interval of the true mean.
iii. Discuss why they are different.