Answered: Glaucoma is the leading cause of…

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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Glaucoma is the leading cause of blindness in the United States. N. Ehlers measured the corneal thickness of nine patients who had glaucoma in one eye but not in the other. The following are the data on corneal thickness, in microns.

Normal 484 478 492 444 430 398 464 404 476

Glaucoma 488 478 480 426 440 410 458 395 460

Construct and interpret a 95% confidence interval for the true mean difference in the mean corneal thickness in normal eyes and eyes with glaucoma. For credit, your work must include a filled out formula for your confidence interval. If it helps, you may follow the steps outlined in the previous problem.

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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