Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on each of three successive days, and the amount of dissolved sugars (in mg/mL) was measured on each sample. The results were as follows: a) State the appropriate hypotheses to test for a difference in means. b) Construct the appropriate ANOVA table. c) Use the ANOVA table from part b) to test whether there is a difference in the mean amount of dissolved sugars between the three days at the .05 level.
Penicillin is produced by the Penicillium fungus, which is grown in a broth whose
sugar content must be carefully controlled. Several samples of broth were taken on each of
three successive days, and the amount of dissolved sugars (in mg/mL) was measured on each
sample. The results were as follows:
a) State the appropriate hypotheses to test for a difference in means.
b) Construct the appropriate ANOVA table.
c) Use the ANOVA table from part b) to test whether there is a difference in the mean
amount of dissolved sugars between the three days at the .05 level.
d) Is it applicable to follow up with Tukey-Kramer pairwise comparisons? If so,
determine which pair(s) of means are significantly different using the Tukey-Kramer
method. If not, explain why not
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