Consider the bottle design study situation in Exercise 11.4. and let A, B and C represent mean

Question:

Consider the bottle design study situation in Exercise 11.4. and let µA, µB and µC represent mean daily sales using bottle designs A. B, and C. respectively. Figure 11.5 gives the Excel output of a one-way ANOVA of the bottle design study data in Table 11.4.
a. Test the null hypothesis that µA, µB, and µC are equal by setting α = .05. That is, test for statistically significant differences between these treatment means at the .05 level of significance. Based on this test, can we conclude that bottle designs A, B, and C have different effects on mean daily sales?
b. Consider the pairwise differences µB - µA, µC - µA, and µC - µB. Find a point estimate of and a Tukey simultaneous 95 percent confidence interval for each pairwise difference. Interpret the results in practical terms. Which bottle design maximizes mean daily sales?
c. Find an individual 95 percent confidence interval for each pairwise difference in part b. Interpret the results in practical terms.
d. Find a 95 percent confidence interval for each of the treatment means µA, µB, and µC interpret these intervals.