Suppose an entomologist studying lygus hesperus, an agricultural insect pest, measures the disbursal pattern of the insects. She releases 36 marked insects at the edge of a narrow cotton field, and recaptures them after one day, noting the distances they traveled. It is believed that the distance travelled by this insect in one day is normally distributed with mean 100 meters and variance 25 meters?. Let X and S2 denote the sample average and variance for a sample of size 36. The entomologist observes a sample mean of = 98. a) What is the distribution of X? Be sure to specify the parameter(s) of this distribution. b) In another (independent) sample of 36 insects, what is the probability that X would exceed the observed value of 98? c) Find the mean and variance of S2. [Hint: We know the distribution of cS2 for some constant c.]

Suppose an entomologist studying lygus hesperus, an agricultural insect pest, measures the disbursal pattern of the insects. She releases 36 marked insects at the edge of a narrow cotton field, and recaptures them after one day, noting the distances they traveled. It is believed that the distance travelled by this insect in one day is normally distributed with mean 100 meters and variance 25 meters?. Let X and S2 denote the sample average and variance for a sample of size 36. The entomologist observes a sample mean of = 98. a) What is the distribution of X? Be sure to specify the parameter(s) of this distribution. b) In another (independent) sample of 36 insects, what is the probability that X would exceed the observed value of 98? c) Find the mean and variance of S2. [Hint: We know the distribution of cS2 for some constant c.]

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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