4. In a population of 10,000 businesses, we want to estimate the averagesales Ỹ. For that, we sample n = 100 businesses using simple randomsampling. Furthermore, we have at our disposal the auxiliary information'number of employees', denoted by x, for each business. The datacoming from the sample are:X = 50 employees (true mean for x),^- Y = 5.2 x 106 Euros (average sales in the sample),- X = 45 employees (sample mean),- s² = 25 x 10¹º (sample variance of yk),y= 15 (sample variance of x1),p = 0.80 (sample linear correlation coefficient between x and y ),a. Calculate the ratio estimate of Ỹ. Is this estimate unbiased orbiased? Explain.b. What is the 'true' variance formula for this estimate?c. Calculate an estimate of the true variance. Is the variance estimateunbiased or biased? Explain.d. Give a 95% confidence interval for Y.

Question is solved below Explanation:

Answered: 4. In a population of 10,000…

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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