For some data sets, the F statistic will reject the null hypothesis of no difference in mean yields, but the Tukey-Kramer method will not find any pair of means that can be concluded to differ. For the four sample me ans given in Exercise 13, assuming a sample size of 5 for each treatment, find a value of MSE so that the F statistic rejects the null hypothesis of no difference at the 5% level, while the Tukey-Kramer method does not find any pair of means to differ at the 5% level.

Elements of Statistics – Chapter 7 Notes Sampling Error An error that occurs when we use sampes to estimate a population characteristic The DIFFERENCE between the POPULATION NUMERICAL INFORMATION and the SAMPLE NUMERICAL INFORMATION Sampling Distribution Choosing a sample from the original...