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The farmers' association of the Amatole region in the Eastern Cape wants to report on the average milk production in this region. It has been shown that the milk production in this region is normally distributed with mean u and variance o?. Suppose a random sample of farms,Y1, Y2, Y3, Y4 is taken from the region. Consider the following estimators of 0: Ô, = Y and ô, = 2Y2+2Y3 4 1. Identify the parameter of interest. 2. You have been presented with two estimators of the parameter of interest. (a) Find the expected value of each of the estimators.

The farmers' association of the Amatole region in the Eastern Cape wants to report on the average milk production in this region. It has been shown that the milk production in this region is normally distributed with mean u and variance o?. Suppose a random sample of farms,Y1, Y2, Y3, Y4 is taken from the region. Consider the following estimators of 0: Ô, = Y and ô, = 2Y2+2Y3 4 1. Identify the parameter of interest. 2. You have been presented with two estimators of the parameter of interest. (a) Find the expected value of each of the estimators.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The farmers' association of the Amatole region in the Eastern Cape wants to report on the average milk production in this region. It has been shown that the milk production in this region is normally distributed with mean u and variance o?. Suppose a random sample of farms,Y1, Y2, Y3, Y4 is taken from the region. Consider the following estimators of 0: 01 = Ỹ and ô, = 2Y½+2Y3 1. Identify the parameter of interest. 2. You have been presented with two estimators of the parameter of interest. (a) Find the expected value of each of the estimators. (b) Find the variance of each of the estimators.
Transcribed Image Text:The farmers' association of the Amatole region in the Eastern Cape wants to report on the average milk production in this region. It has been shown that the milk production in this region is normally distributed with mean u and variance o?. Suppose a random sample of farms,Y1, Y2, Y3, Y4 is taken from the region. Consider the following estimators of 0: 01 = Ỹ and ô, = 2Y½+2Y3 1. Identify the parameter of interest. 2. You have been presented with two estimators of the parameter of interest. (a) Find the expected value of each of the estimators. (b) Find the variance of each of the estimators.
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