1.A researcher studied the sodium content in lager beer by selecting at random six brands from the larger number of brands of U.S. and Canadian beers sold in a metropolitan area. She then chose eight 12-ounce cans or bottles of each selected brand at random from retail outlets in the area, and measured the sodium content ( in milligrams) of each can or bottle. The observation follow observation

Brand 1 2 3 4 5 6 7 8

1 24.4 22.6 23.8 22.0 24.5 22.3 25.0 24.5

2 10.2 12.1 10.3 10.2 9.9 11.2 12.0 9.5

3 19.2 19.4 19.8 19.0 19.6 18.3 20.0 19.4

4 17.4 18.1 16.7 18.3 17.6 17.5 18.0 6.4

5 13.4 15.0 14.1 13.1 14.9 15.0 13.4 14.8

6 21.3 20.2 20.7 20.8 20.1 18.8 21.1 20.3

(a)What type of model would be most appropriate to answer the researcher's question? Why?

(b) Write an appropriate model, according to your answer for part a.

(c) Write appropriate null and alternative hypotheses that can be used to answer the researcher's question.

(d) Using SAS, perform a test of these hypotheses. Explain the conclusions that can be made in terms of the language of the problem. Use = 0.05.

(e) Estimate the variance

(f) Find the 95% confidence interval for