Answered: The Ankle Brachial Index (ABI)…

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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Question

The Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure of the patient's leg. A healthy ABI is 0.9 or greater. In a study, researchers obtained the ABI of 187 women with arterial disease. The results were a mean ABI of 0.90 with a standard deviation of 0.14. At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, women with arterial disease have an unhealthy ABI?

Assume the ABI values are normally distributed.

Set up the hypotheses for the one-mean t-test.

H0: μ=

not equals≠

greater than>

equals=

less than<

nothing

Ha: μ

less than<

not equals≠

greater than>

equals=

nothing

The test statistic is t=

(Round to two decimal places as needed.)

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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