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Name: A physician wants to test two blood glucose meters to see if there is
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Description: A physician wants to test two blood glucose meters to see if there is any differences in measurements. To do this, he measures the glucose in blood samples taken from several randomly selected patients with both meters. Find the test statistic and de

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 physician wants to test two blood glucose meters to see if there is any differences in measurements. To do this, he measures the glucose in blood samples taken from several randomly selected patients with both meters. Find the test statistic and degrees of freedom for an appropriate hypothesis test using the data set below. Let the difference d for each trial be computed as d=Meter B−Meter A. Assume that the measurements are normally distributed. Round the test statistic to three decimal places.

Meter A (mg/dl)	Meter B (mg/dl)
86.1	85.6
87.3	88
85.1	84.2
92.6	93.4
100.4	102.7
121.6	120.4
109.7	112.3
147.2	149.2
130.4	128.3
104.1	105.6

t=, df=

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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