Let R be the actual resistance of a resistor that is selected at random from a batch of '100 N'resistors produced by a certain factory. The 100 N' resistors produced by the factory are ofcourse not exactly 100 N each. They are actually random with mean uR = 100 N and standarddeviation oRNow, let's suppose that the resistance of our randomly selected reistor from this batch ismeasured twice with an ohmmeter. Let M and M, denote the measured values. Then= R+E, and M, = R+ E2, where E, and E, are the measurement errors. Suppose further= 2 N.Mthat E, and E, are random with means zero and standard deviations 1 N. Assuming that R,E1, and E2 are mutually independent,6.a) find the standard deviations of M and M2,b) show that the expected value of M1 M, is just equal to the expected value of R2,c) show also that E [M¡] E [M2] = E² [R].d) use the results of (b) and (c) to show that Cov M1, M2 = on,e) find the correlation coefficient between Mj and M2.

Given Information: μR=100σR=2 M1=R+E1M2=R+E2 EE1=0EE2=0VarE1=1VarE2=1 R,E1,E2 are mutually…

Answered: Let R be the actual resistance of a…

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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11. A test is made of H:P = 20 VS H:U 20 and the Z value = -2.70 , compute the PValue and interpret your results, must show work, formulas, diagram etc for full grades.
You are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. As part of your assessment, you want to verify this defect rate by analyzing a random sample of LED displays. You are planning to randomly sample 1500 displays from this factory and observe how many of them contain manufacturing defects. Let Zi be equal to 1 if the i’th display has a defect and 0 otherwise, for i = 1,...,1500. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it using Z1, Z2, . . . , Z1500? (b) Assuming that the true defect rate for this factory is in fact 1 in 100 displays, can we approximate the sampling distribution of the statistic that you selected in part (a) using a normal distribution? Please state and check the requirements for applying the approximation, and identify the mean and standard deviation of the normal…
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There is always a claim that after measles immunization, children develop hightemperature. A researcher at IHK was interested in finding out the validity of thisclaim. On a designated immunization day, he randomly selected 5 children (withnormal temperature before being immunization). He measured their temperatureagain 6 hours after being immunized against measles. The following were theirtemperatures in (0C): 37.7, 36.7, 39.3, 38.2 and 35.9.a) Is there evidence that the measles vaccine leads to increase in a child’s temperaturefrom the normal temperature of 36.7 (0C)?
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