In another double-blind study, five patients with borderline high blood pressure were given four different treatments (one of which was a placebo) for three months at a time, in random order. Their blood pressure was recorded during each treatment phase, and is shown below. A two-way ANOVA showed a significant difference between at least one pair of the treatments. Patient Treatment A Treatment B Treatment C Treatment D 112 116 124 114 104 109 118 105 3 118 119 130 118 109 109 117 115 1. 2.

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In another double-blind study, five patients with borderline high blood pressure were given four different treatments (one of which
was a placebo) for three months at a time, in random order. Their blood pressure was recorded during each treatment phase, and is
shown below. A two-way ANOVA showed a significant difference between at least one pair of the treatments.
Patient Treatment A Treatment B Treatment C Treatment D
1
112
116
124
114
104
109
118
105
3
118
119
130
118
4
109
109
117
115
122
123
130
126
a) What confidence level should you use to construct confidence intervals for the differences between the means of these groups?
b) Find the appropriate t. How many degrees of freedom did you use?
Round your answer to 3 decimal places.
t*= i
;df = i
c) Construct the six confidence intervals for the differences in the means of each pair of groups. (Hint: MSE = 5.04)
Round your answers to 2 decimal places.
HA - HB =( i
HA - Hc =( i
i
HA - HD =( i
HB - Hc =( i
i
HB - HD =( i
HC - HD =( i
d) Which groups differ significantly? Can you tell which treatment was the placebo?
v differ significantly.
Treatment
was the placebo.
2.
Transcribed Image Text:In another double-blind study, five patients with borderline high blood pressure were given four different treatments (one of which was a placebo) for three months at a time, in random order. Their blood pressure was recorded during each treatment phase, and is shown below. A two-way ANOVA showed a significant difference between at least one pair of the treatments. Patient Treatment A Treatment B Treatment C Treatment D 1 112 116 124 114 104 109 118 105 3 118 119 130 118 4 109 109 117 115 122 123 130 126 a) What confidence level should you use to construct confidence intervals for the differences between the means of these groups? b) Find the appropriate t. How many degrees of freedom did you use? Round your answer to 3 decimal places. t*= i ;df = i c) Construct the six confidence intervals for the differences in the means of each pair of groups. (Hint: MSE = 5.04) Round your answers to 2 decimal places. HA - HB =( i HA - Hc =( i i HA - HD =( i HB - Hc =( i i HB - HD =( i HC - HD =( i d) Which groups differ significantly? Can you tell which treatment was the placebo? v differ significantly. Treatment was the placebo. 2.
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