3. (18/222, Expected Value and Variance) The Philippine Housing Survey reported the following data on thenumber of bedrooms in owner-occupied and renter-occupied houses in central cities of the country.E(x) =Var (x) =6x =Bedroomsa. Define a random variable x = number of bedrooms in renter-occupied houses and develop aprobability distribution for the random variable. Let x = 4 represent 4 or more bedrooms. Showtabular computation/solution. Compute the expected value, variance, and standard deviation for thenumber of bedrooms in renter-occupied housesE(y) =01234 or moreVar (y) =Number of Houses (1,000s)Owner-Occupied235413,8328,6903,78316,869Renter-Occupied5475,0126,1002,64455714,860b. Define a random variable y = number of bedrooms in owner-occupied houses and develop aprobability distribution for the random variable. Let y = 4 represent 4 or more bedrooms. Showtabular computation/solution. Compute the expected value, variance, and standard deviation for thenumber of bedrooms in owner-occupied houses.c. What observations can you make from a comparison of the number of bedrooms in renter-occupiedversus owner-occupied homes?3

E(X)= ΣXi*fi/Σfi fi represents the renter-occupied houses. E(X)=…

Answered: 3. (18/222, Expected Value and…

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 = 0 B = 5 C = 0 D = 1 E = 8 F = 0 G = 4 H = 2 I = 8
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (µ = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? COr is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. %3D c. Which test statistic and sampling distribution under the null should we use? O i. z-score; standard Normal O ii. t-statistic; Student'st
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