Reconsider the paper towel absorbency data from Exercise 10-13. Find a 95% confidence interval on the difference
Question:
Reconsider the paper towel absorbency data from Exercise 10-13. Find a 95% confidence interval on the difference in the towels’ mean absorbency produced by the two processes. Assume the standard deviations are estimated from the data. How would you interpret this CI? Is the value zero in the CI?
Exercise 10-13
In their book Statistical Thinking (2nd ed.), Roger Hoerl and Ron Snee provide data on the absorbency of paper towels that were produced by two different manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 190 and 15, respectively. From process 2, the sample size was 4 with a mean and standard deviation of 310 and 50, respectively. Is there evidence to support a claim that the mean absorbency of the towels from process 2 have higher mean absorbency than the towels from process 1? Assume that the standard deviations are known. What level of type I error would you consider appropriate for this problem?
Step by Step Answer:
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger