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: Day 1 4.6 4.9 5.0 4.8 5.2 4.9 Day 2 5.0 5.0 5.1 5.5 5.1 5.3 Day 3 5.7 5.6 5.3 5.5 5.4 5.4 6.2 5.3 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.
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: Day 1 4.6 4.9 5.0 4.8 5.2 4.9 Day 2 5.0 5.0 5.1 5.5 5.1 5.3 Day 3 5.7 5.6 5.3 5.5 5.4 5.4 6.2 5.3 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.
Chapter10: Exponential And Logarithmic Functions
Section10.3: Evaluate And Graph Logarithmic Functions
Problem 10.53TI: In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter...
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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:
Day 1
4.6
4.9
5.0
4.8
5.2
4.9
Day 2
5.0
5.0
5.1
5.5
5.1
5.3
Day 3
5.7
5.6
5.3
5.5
5.4
5.4
6.2
5.3
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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