The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, thereduction in systolic blood pressure is 72.5 for a sample of size 25 and standard deviation 9.3. Estimate howmuch the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). Assume thedata is from a normally distributed population.Enter your answer as a tri-linear inequality accurate to three decimal places.

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Description: The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, thereduction in systolic blood pressure is 72.5 for a sample of size 25 and standard deviation 9.3. Estimate howmuch the drug will lower a typi

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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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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the
reduction in systolic blood pressure is 72.5 for a sample of size 25 and standard deviation 9.3. Estimate how
much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). Assume the
data is from a normally distributed population.
Enter your answer as a tri-linear inequality accurate to three decimal places.
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Expert Solution

Step 1

Obtain the 80% confidence interval for the reduction of a typical patient's systolic blood pressure.

The 80% confidence interval for the reduction of a typical patient's systolic blood pressure is obtained below:

Use EXCEL Procedure for finding the critical value of z.

Follow the instruction to obtain the critical value of z:

Open EXCEL
Go to Formula bar.
In formula bar enter the function as“=NORMINV”
Enter the probability as 0.90.
Enter the mean as 0 and the Standard deviation as 1.
Click enter

EXCEL output:

From the EXCEL output, the critical value of z at the 80% confidence level is 1.282.

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