Question

Suppose a hypertension trial is mounted and 18 participants are randomly assigned to one of the...

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. The data are presented in the table below. Compute the totals for each column (1pt).

Standard Treatment Placebo New Treatment

124 134 114

111    143 117

133    148 121

125 142 124

128 150    122

115 160 128

Total: 736 877 726

Is there a difference in mean SBP among treatments at a 5% significance level?

Indicate the correct competing hypotheses:

  1. H0: The means are not all equal.

H1: The means are all equal.

  1. H0: Treatment group and SBP are independent.

H1: The null hypothesis is false.

  1. H0: The means are all equal.

H1: The means are not all equal.

  1. H0: Treatment group and SBP are not independent.

H1: The null hypothesis is false.

Indicate the decision rule.

  1. Reject H0 if F > 3.68
  2. Reject H0 if F < 3.68
  3. Reject H0 if F > 3.16
  4. Reject H0 if F < 3.16
  5. Some other answer; indicate:

Indicate the mean of Group 1.

Indicate the mean of Group 2.

Indicate the mean of Group 3.

Indicate the overall mean.

Indicate the Between Groups Sums of Squares (SSB,).

Homework Answers

Answer #1

Applying ANOVA on above data:

Groups Count Sum Average Variance
Standard Treatment 6 736 122.667 67.467
Placebo 6 877 146.167 76.967
New Treatment 6 726 121.000 24.800
Source of Variation SS df MS F P-value
Between Groups 2376.778 2 1188.39 21.07 0.0000
Within Groups 846.167 15 56.41
Total 3222.944 17

correct competing hypotheses:

H0: The means are all equal.

H1: The means are not all equal

decision rule. Reject H0 if F > 3.68

mean of Group 1 =122.667

mean of Group 2 =146.167

mean of Group 3=121.000

overall mean =129.944

Between Groups Sums of Squares =2376.778

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