Question
The data set Voice.txt (available on Canvas) contains heights of singers from the NY Choral Society in 1979. The heights (in inches) are self-reported and
The data set "Voice.txt" (available on Canvas) contains heights of singers from the NY Choral Society in 1979. The heights (in inches) are self-reported and rounded to the nearest inch. Voice parts in order from highest pitch to lowest pitch are Soprano, Alto, Tenor, and Bass. (a) Formulate the ANOVA null hypothesis and alternatives (in words and symbols) in the context of this problem. (b) Perform an ANOVA procedure on the data in JMP. Copy and paste the relevant information from your output and include it with your homework. (c) Identify the values of MSTr, MSE, I, the Ji's, and n from the output. (d) Find the value of the ANOVA test statistic in the output and the corresponding p-value. Using significance level = 0.05, formulate the conclusion that you draw from them. (e) List the assumptions of the ANOVA model. Are they reasonably satisfied in this example? What do you base this conclusion on? (f) Conduct Tukey's post-hoc test in JMP. What can we say about average heights for the different voice parts? (g) Draw a side-by-side box-plot in JMP and indicate in your plot which voice parts differ significantly from each other in height.