
1.An experiment was conducted for better understanding of the effectiveness of a particular type of drug for reducing bad cholesterol (LDL) level. The purpose of the experiment was to determine whether different dosages used have significant different outcomes in average LDL reduction. Twenty subjects with LDL at around 250 to 300 mg/dL had participated in the study and were randomly divided into four groups. Each group was given a specific level of dosage of the drug each day for one month, with a control group that only provided with placebo. The reduction in LDL was recorded and showed in the following table. Positive number indicates reduction and negative numbers indicates increasing in DLD. Use statistical software to analyze the data and answer the following question.
Control |
Light Dosage Level |
Medium Dosage Level |
Heavy Dosage Level |
7 |
25 |
73 |
81 |
-3 |
17 |
60 |
71 |
6 |
22 |
55 |
79 |
5 |
21 |
41 |
60 |
15 |
12 |
36 |
85 |
- Use statistical software to determine whether the average reduction in LDL differ among people who used different dosages of the drug. Perform a one-way ANOVA F-test and report p-value of the test and draw a conclusion using the level of significance at 5%.
Null hypothesis:
Alternative hypothesis:
Report the value of the F-test statistic =
Report p-value from the F-test and the conclusion:
[Place your software output here.]
- Verify the assumptions behind the ANOVA F-test using statistical software and explain your result.
[Place your software output here.]
- Use Tukey’s multiple comparison methods to compare all the treatment groups to see where the differences are and also identify homogeneous subsets from these treatment groups.
[Place your software output here.]

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