Five different treatments of new antibiotic were applied to a number of bacteria
ID: 3238421 • Letter: F
Question
Five different treatments of new antibiotic were applied to a number of bacterial colonies growing on agar plates. The kill rate efficiencies appear below:
78.9, 72.3, 81.7, 85.1,
63.5, 74.1, 75.8, 80.5, 79.3, 71.4,
79.1, 90.3, 81.6, 85.4, 64.5, 98.3,
87.0, 91.2, 70.3, 79.9, 80.7, 82.8, 89.9,
85.9, 87.5, 91.5, 90.1
The treatment labels are:
1,1,1,1,
2,2,2,2,2,2,
3,3,3,3,3,3,
4,4,4,4,4,4,4,
5,5,5,5
a. Is there evidence to detect that at-least one of the mean treatments is different than the rest (Ha)? Report the p-value: .
Reject Null hypothesis at the 97% level of confidence?
yesno
b. If you rejected the null hypothesis, which pairs of treatments appear to differ? (Select all that apply.)
1,52,32,51,31,43,53,31,2 2,44,53,4
c. The cost of each treatment is projected to be:
1: $20/dose
2: $10/dose
3: $15/dose
4: $35/dose
5: $30/dose
Which treatment is most logical to go on developing?
Explanation / Answer
The given data is
(A)
Below are the results of ANOVA analysis
As p-value is less than 0.03 (significance level), we reject the null hypothesis. This means there are sufficient evidence to conclude that at least two means are different.
T1 T2 T3 T4 T5 78.9 63.5 79.1 87 85.9 72.3 74.1 90.3 91.2 87.2 81.1 75.5 85.6 75.3 91.5 85.7 80.8 81.4 79.4 90.1 71.3 74.5 80.7 79.4 95.3 82.8Related Questions
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