Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Please help me for these questions, thank you. Consider a population that has N=4 units. Data on two variables Y (variable of interest) and X

Please help me for these questions, thank you.

image text in transcribedimage text in transcribedimage text in transcribed
Consider a population that has N=4 units. Data on two variables Y (variable of interest) and X (auxiliary variable) are recorded for all the units in the population and summarized below: Unit | 1 2 3 4 X 67 63 66 69 Y 68 62 64 70 Using the data: t, = 265,t, = 264, S} = 6.25, 57 = 13.33. 1. Consider all possible simple random samples of size 2 from this population. Find #s and y,, for each of these samples. Be sure to use sample specific B to calculate y,,. Also, keep the values of g, to 3 or more decimal places. Sample | Units | 95 Yyr 1 1.2 2 1.3 3 14 4 2,3 D 2.4 6 3,4 2. Find the expected value of s and g, using the values calculated in part (a). Use this to calculate the bias for both estimators. 3. Find the variance of ys and y,, using the values calculated in part (a). (Think about which formula would be the easiest to get the answer)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Linear Algebra and Its Applications

Authors: Gilbert Strang

4th edition

30105678, 30105676, 978-0030105678

More Books

Students also viewed these Mathematics questions