Answered: Syringes, pens, jet injectors, pumps,…

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

Syringes, pens, jet injectors, pumps, ports and even inhalers are the various ways for diabetics to take insulin. Currently most diabetics take insulin using syringes or pens. A research study was completed to compare the effectiveness of these two different methods of delivering insulin to diabetics. Two independent random samples of 100 diabetics comprising Group A (using syringes) and 100 diabetics comprising Group B (using pens). Both groups were carefully monitored and their glucose levels measured in mg/dl (milligrams per deciliter) two hours after injections. Their glucose levels were compared and a 95% confidence interval for the true mean glucose levels for Group A minus the true mean glucose levels for Group B was computed to be: (–11.45, 5.32).

A. We are 95% confident that there is no statistically significant difference between the true mean glucose levels for Group A and the true mean glucose levels for Group B.

B. We are 95% confident that the true mean glucose levels for Group A is higher than the true mean glucose levels for Group B.

C. We are 95% confident that the true mean glucose levels for Group A is lower than the true mean glucose levels for Group B.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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