Problem #1: Using a bar of length u, you are going to lay out a square plot in which the length of each side will be length u.Thus the area of the plot will be u². However, you do not know the value of and so you decide to make 14independent measurements of the bar, {Xi =has mean (unbiasedmeasurement) and variance of = 0.3.n. Assume that eachProblem #1(a):Problem #1(b):(a) Find the bias of the random variable ² as an estimator for ²(b) For what value of k is the estimator ² - KS² unbiased for u²?answer correct to 4 decimalsanswer correct to 4 decimals

Sample mean X̄ and sample varience S2 are unbiased estimator population mean μ and population…

Answered: measurement) and variance (a) Find the…

measurement) and variance (a) Find the bias of the random variable ² as an estimator for ² (b) For what value of k is the estimator X² - AS² unbiased for u²?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Question

Problem #1: Using a bar of length u, you are going to lay out a square plot in which the length of each side will be length u.
Thus the area of the plot will be u². However, you do not know the value of and so you decide to make 14
independent measurements of the bar, {Xi =
has mean (unbiased
measurement) and variance of = 0.3.
n. Assume that each
Problem #1(a):
Problem #1(b):
(a) Find the bias of the random variable ² as an estimator for ²
(b) For what value of k is the estimator ² - KS² unbiased for u²?
answer correct to 4 decimals
answer correct to 4 decimals

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