A researcher wishes to try three different techniques to lower the blood pressur

Question

A researcher wishes to try three different techniques to lower the blood pressure of individuals diagnosed with high blood pressure. The subjects are randomly assigned to three group; the first group takes medication, the second group exercises, and the third group follows a special diet. After four weeks, the reduction in each person's blood pressure is recorded. The data are shown here: a. What are the null and alternative hypotheses? b. What is the p-value? c. Can the researcher conclude that there is a difference in the treatment methods? Use an alpha-level of 0.05.

Explanation / Answer

a) null hypothesis: all group have equal means

alternate hypothesis: at least two groups have different means

b )

from above p value =0.0038

c) as p value is less then 0.05 level we reject null hypothesis that all mean are equal.

And conclude that there is difference among at least 2 of the groups

Groups Count Sum Average Variance medication 5 59 11.8 5.7 Exercise 5 19 3.8 10.2 Diet 5 38 7.6 10.3 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 160.1333 2 80.06667 9.167939 0.003831 3.885294 Within Groups 104.8 12 8.733333 Total 264.9333 14

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