A test instrument needs to be calibrated periodically to prevent measurement errors. After sometime of use without calibration, it is known that the probability density function of themeasurement error is f(x) = 1– 0.5x for 0 < x < 2 millimeters.Determine the mean and variance of the random variable. The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.25pounds. Determine the following:a. Mean and variance of the weight packagesb. Cumulative distribution function of the weight of packagesc. P(X < 50.1)

Solution According to guide lines we solve only first question

Answered: A test instrument needs to be…

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 food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At α=0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient 1 2 3 4 5 6 7 Total Blood Cholesterol (Before) 200 230 235 250 245 265 235 Total Blood Cholesterol (After) 194 225 240 249 240 262 230 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where μd=μ1−μ2. Choose the correct answer…
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