Suppose a hypertension trial is mounted and 18 participants are randomly assigne

Question

Suppose a hypertension trial is mounted and 18 participants are randomly assigned to one of the comparison treatments. Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment. Is there a difference in mean SBP among the three treatment groups at the 5% significance level? The data are as follows. Standard Treatment Placebo 134 143 148 142 150 160 New Treatment 124 114 133 125 128 115 121 124 122 128 Which one of the following statements is INCORRECT? a. SBP is a continuous variable and the three groups are independent of each other, where an F test is appropriate to test for differences across groups. b. One can reject the null hypothesis (that all means are the same) if the obtained F statistic is greater than the critical F statistic. c. The F statistic is a ratio of between-group variance to total variance. d. If the obtained F is not greater than the critical F then one has to accept the null hypothesis.

Explanation / Answer

Option C is Incorrect. The F statistic is a ratio of between group variances to total variance

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