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.1

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 a = .05 level of significance? At the a = .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?

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Light Tuna in Water White Tuna in Oil White Tuna in Water Light Tuna in 1.49 1.29 1.27 1.35 1.29 1.00 1.27 1.28 .99 53 1.27 1.921.41 1.22 1.23 1.12 1.19 85 63 1.22 2.56 62 1.92 66 1.30 62 1.79 65 1.23 .60 6 67 5 .69 60 .60 66 .67