The ventricle is the cavity in the brain. The mean volume of ventricles in the healthy elderly is 38.3 cm3. We know that the ventricular volume is normally distributed. To inspect the volume of ventricle as a biomarker for Alzheimer’s disease, we collected the ventricular volumes of 25 Alzheimer’s disease patients. If their sample mean was 49.9 cm3 with a sample standard deviation of

The ventricle is the cavity in the brain. The mean volume of ventricles in the healthy elderly is 38.3 cm3. We know that the ventricular volume is normally distributed. To inspect the volume of ventricle as a biomarker for Alzheimer’s disease, we collected the ventricular volumes of 25 Alzheimer’s disease patients. If their sample mean was 49.9 cm3 with a sample standard deviation of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

5. The ventricle is the cavity in the brain. The mean volume of ventricles in the healthy
elderly is 38.3 cm³. We know that the ventricular volume is normally distributed. To inspect
the volume of ventricle as a biomarker for Alzheimer’s disease, we collected the ventricular
volumes of 25 Alzheimer’s disease patients. If their sample mean was 49.9 cm³ with a sample
standard deviation of s=25.3 cm³. Can we conclude that the mean ventricular volume of
Alzheimer’s disease patients is not equal to 38.3 cm³? Use the significance level of 5%.

You may use the online t-distribution calculator to solve the question:
https://homepage.divms.uiowa.edu/~mbognar/applets/t.html

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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