Given a binomial distribution with a sample of size 9 trees and the probability ofdamage by fungi of 0.10, findP(# damaged trees 2) =b.1.a.P(# of damaged trees is less than 2) =P( at least 1 but no more than 3 damaged trees are found)=population meanpopulation varianceс.d.е.

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Answered: Given a binomial distribution with a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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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 (H = 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? Or 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. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 min
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Given a binomial distribution with a sample of size 9 trees and the probability of damage by fungi of 0.10, find P(# damaged trees = 2) = P(# of damaged trees is less than 2) = P( at least 1 but no more than 3 damaged trees are found)= population mean population variance 1. a. b. С. d. е.