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

MATLAB: An Introduction with Applications
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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) s 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.

Day 1
Day 2
Day 3
4.6
5.0
5.7
4.9
5.0
5.6
5.0
5.1
5.3
4.8
5.5
5.5
5.2
5.1
5.4
4.9
5.3
5.4
6.2
5.3
Transcribed Image Text:Day 1 Day 2 Day 3 4.6 5.0 5.7 4.9 5.0 5.6 5.0 5.1 5.3 4.8 5.5 5.5 5.2 5.1 5.4 4.9 5.3 5.4 6.2 5.3
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