The recommended acidity levels for sweet white wines (e.g., certain Rieslings, Port, Eiswein,
Muscat) is .70% to .85% (www.grapestompers.com/articles/measure_acidity.htm). A vintner (winemaker) takes three random samples of Riesling from casks that are 15, 20, and 25 years old, respectively, and measures the acidity of each sample. The sample results are given in the table below.

a. We are to test whether the mean acidity levels for all casks of Riesling are the same for the three different ages. Write the null and alternative hypotheses.
b. Show the rejection and non-rejection regions on the F distribution curve for α = .025.
c. Calculate SSB, SSW, and SST.
d. What are the degrees of freedom for the numerator and the denominator?
e. Calculate the between-samples and within-samples variances.
f. What is the critical value of F for α = .025?
g. What is the calculated value of the test statistic F?
h. Write the ANOVA table for this exercise.
i. Will you reject the null hypothesis stated in part a at a significance level of 2.5%?

20 years 15 years 8036 8001 8291 8077 8298 8126 8169 8066 8142 8197 8129 8109 8246 8245 8070 8023 8182 8265 8262 8048 7995 8102 7957 8164 25 years 7735 7813 8052 8000 8091 7952 7882 7789 .7976 7918 7850 7801 7843 8251