Answered: a 95% confidence interval for the…

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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A drug company has developed a new drug that is designed to reduce high blood pressure. To test the drug, a sample of 20 patients is recruited to take the drug. Their systolic blood pressures (SBP) are reduced by an average of 28.3 millimeters, with a standard deviation of 12.0 millimeters. In addition, another sample of 25 patients takes a standard drug. The blood pressure in this group are reduced by an average of 17.1 millimeters with a standard deviation of 9.0 millimeters. Assume that blood pressure reductions are approximately normally distributed with equal variances. Find a 95% confidence interval for the difference between the population mean reduction for the new drug and that of the standard drug. Enter your answer using interval notation.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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