Why is a one-way ANOVA an appropriate statistical procedure for this scenario | Complete Solution

1. Open the dataset FA16STDATA.MTW. These data were collected from a sample of World Campus STAT200 students in Fall 2016.  Assume this sample is representative of the population of all World Campus STAT 200 students.  We want to know if students who prefer beer, wine, or neither differ in terms of average height. [70 points]

A. Why is a one-way ANOVA an appropriate statistical procedure for this scenario? 

B. Has the assumption of equal variances been met?  Show how you checked for this.

C. Construct a side-by-side boxplot comparing the heights of the students who prefer beer, wine, or neither.

D.  Use the five-step hypothesis testing procedure to determine if there is evidence that the mean height is different for students who prefer beer, wine, or neither. 

Step 1:
Step 2:
Step 3:
Step 4:
Step 5:

E. Make all possible pairwise comparisons using Tukey’s Honestly Significant Differences Test.  Which pairs are different?

F. How would you explain these results to a friend who has no knowledge of statistics?

G. Can we conclude that drink preference causes differences in height?  Why or why not?

H. What is one possible confounding variable? Explain why this is a confounding variable.