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  3. suppose a hypertension trial is mounted and 18 par

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

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Statistics

Suppose a hypertensiontrial is mounted and 18 participants are randomly assigned to oneof the comparison treatments. Each participant takes the assignedmedication and their systolic blood pressure (SBP) is recordedafter 6 months on the assigned treatment. The data are asfollows.

Standard Treatment

Placebo

New Treatment

123

133

113

110

144

118

134

147

121

126

140

123

127

155

124

116

162

130

Is there a differencein mean SBP among treatments? Run the appropriate test at[]=0.05.  

Answer & Explanation Solved by verified expert
3.9 Ratings (471 Votes)

Here we use one way anova test ,

Hypothesis:

Ho: There is no difference in mean SBP among treatments.

V/s

H1: There is difference in mean SBP among treatments.

Using excel data analysis toolpack,

Excel => Data => Data Analysis => ANOVA: single factor => input range => ok

Standard Treatment Placebo New Treatment
123 133 113
110 144 118
134 147 121
126 140 123
127 155 124
116 162 130
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Standard Treatment 6 736 122.6667 72.66667
Placebo 6 881 146.8333 108.5667
New Treatment 6 729 121.5 33.1
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 2454.333 2 1227.167 17.17652 0.000132 3.68232
Within Groups 1071.667 15 71.44444
Total 3526 17

Here p-value = 0.000132 < alpha=0.05 then we reject Ho and conclude that, there is difference in mean SBP among treatments.
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