Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in 5-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source of variability, the experimenter decides to use a RCBD. Observations are taken for four days, and the data are shown in the table below. Analyze the data from this experiment (use 5% level of significance). Days Solution 1 2 3 4 1 13 22 18 39 2 16 24 17 44 3 4 1 22 To get full points for each item, show your solution either by manual computation or screenshot of results from PAST or any free statistical software. Perform all tests at the 5% level of significance. a. Is there evidence of a difference in the effectiveness in retarding bacteria growth among the three different washing solutions at the 5% level of significance? Perform ANOVA (from hypotheses to conclusion. b. Has blocking been beneficial at the 5% level of significance? c. Check for the homogeneity of variance assumption. d. If necessary, perform Tukey's test. Show your solution from hypotheses to conclusion. Write the summary table showing the mean per treatment and the appropriate superscripts.
Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in 5-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source of variability, the experimenter decides to use a RCBD. Observations are taken for four days, and the data are shown in the table below. Analyze the data from this experiment (use 5% level of significance). Days Solution 1 2 3 4 1 13 22 18 39 2 16 24 17 44 3 4 1 22 To get full points for each item, show your solution either by manual computation or screenshot of results from PAST or any free statistical software. Perform all tests at the 5% level of significance. a. Is there evidence of a difference in the effectiveness in retarding bacteria growth among the three different washing solutions at the 5% level of significance? Perform ANOVA (from hypotheses to conclusion. b. Has blocking been beneficial at the 5% level of significance? c. Check for the homogeneity of variance assumption. d. If necessary, perform Tukey's test. Show your solution from hypotheses to conclusion. Write the summary table showing the mean per treatment and the appropriate superscripts.
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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Transcribed Image Text:Three different washing solutions are being compared to study their effectiveness in retarding bacteria
growth in 5-gallon milk containers. The analysis is done in a laboratory, and only three trials can be
run on any day. Because days could represent a potential source of variability, the experimenter
decides to use a RCBD. Observations are taken for four days, and the data are shown in the table
below. Analyze the data from this experiment (use 5% level of significance).
Days
Solution
1
2
3
4
1
13
22
18
39
16
24
17
44
3
5
4
1
22
To get full points for each item, show your solution either by manual computation or screenshot of
results from PAST or any free statistical software. Perform all tests at the 5% level of significance.
a. Is there evidence of a difference in the effectiveness in retarding bacteria growth among the
three different washing solutions at the 5% level of significance? Perform ANOVA (from
hypotheses to conclusion.
b. Has blocking been beneficial at the 5% level of significance?
c. Check for the homogeneity of variance assumption.
d. If necessary, perform Tukey's test. Show your solution from hypotheses to conclusion. Write
the summary table showing the mean per treatment and the appropriate superscripts.
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