Question 1It is known that if a signal of value is sent from location A, thenthe value received at location B is normally distributed with meanμ and standard deviation 2. That is, the random noise added to thesignal is an N(0,4) random variable. There is reason for the peopleat location B to suspect that the signal value = 8 will be senttoday.a) What test statistics will be needed to measure the accuracy of theconjecture about the average value of signal received. b) Test this hypothesis if the same signal value is independently sentfive times and the average value received at location B is * = 9.5.suppose we test at 5% level.

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Answered: It is known that if a signal of value…

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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According to the Center for Disease Control, the mean total cholesterol for men between the ages of 20-29 is 180 milligrams per deciliter with a standard deviation of 36.2. A healthy total cholesterol level is less than 200,200-240 is borderline and above 240 is dangerous. Assume the distribution is approximate. if two randomly selected men are chosen from this group, what is the probability that both will have a total cholesterol level of 200 or more? assume independence.
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It is known that the average body temperature of healthy individuals is is normally distributed with a mean, μ = 37 oC and standard deviation, σ = 0.6 oC. We found the average temperature of a random sample of 24 University students in a Statistics tutorial. What is the probability that the average body temperature of this sample of students will be less than 37.1 oC? (4 dp) What is the probability that average body temperature of these students will be more than 37.4 oC?
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The distribution of heights of a certain breed of terrier has a mean of 71 centimeters and a standard deviation of 9 centimeters, whereas the distribution of heights of a certain breed of poodle has a mean of 29 centimeters with a standard deviation of 5 centimeters. Assuming that the sample means can be measured to any degree of accuracy, find the probability that the sample mean for a random sample of heights of 64 terriers exceeds the sample mean for a random sample of heights of 100 poodles by at most 44.2 centimeters. What is the probability? Round to four decimals. Use standard normal distribution table.
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