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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please write complete thx. 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.
Transcribed Image Text:Please write complete thx. 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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