(a) Construct a 95% confidence interval for µx - Hy, the average effect of the stimulus on blood pressure. Do you think the stimulus does have an effect on the blood pressure based on this 95% confidence interval? Briefly explain your answer. (b) Construct a 95% confidence interval for ow.

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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Q3. A certain stimulus is to be tested for its effect on blood pressure. Twelve men have their blood pres-
sure measured before and after the stimulus. The results are
Man
1
3
4
6
7
8.
9.
10
11
12
Before (X) 120 124 130 118 140 128 140 135 126 130 126 127
After (Y)
128 131
131
127 132 125 141
137 118 132 129 135
In this particular scenario, we define W = Y – X as the improvement or increase in blood
pres-
sure due to the stimulus and assume that W;'s (i = 1, 2, ..., 12) are independent and distributed
accordingi
to a n(µw,ow) distribution. Let E(X)= µx and E(Y) = µy.
(a) Construct a 95% confidence interval for x – µy, the average effect of the stimulus on blood
pressure. Do you think the stimulus does have an effect on the blood pressure based on this 95%
confidence interval? Briefly explain your answer.
(b) Construct a 95% confidence interval for ow.
Transcribed Image Text:Q3. A certain stimulus is to be tested for its effect on blood pressure. Twelve men have their blood pres- sure measured before and after the stimulus. The results are Man 1 3 4 6 7 8. 9. 10 11 12 Before (X) 120 124 130 118 140 128 140 135 126 130 126 127 After (Y) 128 131 131 127 132 125 141 137 118 132 129 135 In this particular scenario, we define W = Y – X as the improvement or increase in blood pres- sure due to the stimulus and assume that W;'s (i = 1, 2, ..., 12) are independent and distributed accordingi to a n(µw,ow) distribution. Let E(X)= µx and E(Y) = µy. (a) Construct a 95% confidence interval for x – µy, the average effect of the stimulus on blood pressure. Do you think the stimulus does have an effect on the blood pressure based on this 95% confidence interval? Briefly explain your answer. (b) Construct a 95% confidence interval for ow.
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