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 areMan134678.9.101112Before (X) 120 124 130 118 140 128 140 135 126 130 126 127After (Y)128 131131127 132 125 141137 118 132 129 135In this particular scenario, we define W = Y – X as the improvement or increase in bloodpres-sure due to the stimulus and assume that W;'s (i = 1, 2, ..., 12) are independent and distributedaccordingito 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 bloodpressure. 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.

Consider the following table: man before(X) After(Y) 1 120 128 2 124 131 3 130 131…

(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.

(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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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