Answered: Shelia's doctor is concerned that she…

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

Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with mean 127 mg/dl and standard deviation 10 mg/dl. Let L denote a patient's glucose level.

(a) If measurements are made on three different days, find the level L such that there is probability only 0.02 that the
mean glucose level of three test results falls above L for Shelia's glucose level distribution. What is the value of L?
ANSWER: 133.2
(b) If the mean result from the three tests is compared to the criterion 140 mg/dl, what is the probability that Shelia is
diagnosed as having gestational diabetes?
ANSWER: 0.1587

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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