Tuna Fish The tuna fish data from Exercise 11.16 were analyzed as a completely rando...

Tuna Fish The tuna fish data from Exercise 11.16 were analyzed as a completely randomized design with four treatments. However, we could also view the experimental design as a 2 2 factorial experiment with unequal replications. The data are shown below.

The data can be analyzed using the model

a. Show how you would enter the data into a computer spreadsheet, entering the data into columns for

b. The printout generated by MINITAB is shown below. What is the least-squares prediction equation?

c. Is there an interaction between type of tuna and type of packing liquid?

d. Which, if any, of the main effects (type of tuna and type of packing liquid) contribute significant information for the prediction of y?

e. How well does the model fit the data? Explain.

Reference:

Tuna Fish In Exercise 10.6, we reported the estimated average prices for a 6-ounce can or a 7.06-ounce pouch of tuna fish, based on prices paid nationally for a variety of different brands of tuna.

a. Use an analysis of variance for a completely randomized design to determine if there are significant differences in the prices of tuna packaged in these four different ways. Can you reject the hypothesis of no difference in average price for these packages at the α = .05 level of significance? At the α = .01 level of significance?

b. Find a 95% confidence interval estimate of the difference in price between light tuna in water and light tuna in oil. Does there appear to be a significant difference in the price of these two kinds of packaged tuna

c. Find a 95% confidence interval estimate of the difference in price between white tuna in water and white tuna in oil. Does there appear to be a significant difference in the price of these two kinds of packaged tuna?

d. What other confidence intervals might be of interest to the researcher who conducted this experiment?