A corporation is interested in estimating the total earnings from sales of color television sets at the end of a three-month period. The total earnings figures are available for all districts within the corporation for the corresponding three-month period of the previous year. A simple random sample of 13 district offices is selected from the 123 offices within the corporation. a) Using a ratio estimator, estimate ty and place a bound on the error of estimation. Use the data in the accompanying table and take t = 128,200. b) Also estimate the mean earnings for office within the corporation and place a bound on the error of estimation.

A corporation is interested in estimating the total earnings from sales of color television sets at the end of a three-month period. The total earnings figures are available for all districts within the corporation for the corresponding three-month period of the previous year. A simple random sample of 13 district offices is selected from the 123 offices within the corporation. a) Using a ratio estimator, estimate ty and place a bound on the error of estimation. Use the data in the accompanying table and take t = 128,200. b) Also estimate the mean earnings for office within the corporation and place a bound on the error of estimation.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A corporation is interested in estimating the total earnings from sales of color television
sets at the end of a three-month period. The total earnings figures are available for all
districts within the corporation for the corresponding three-month period of the previous
year. A simple random sample of 13 district offices is selected from the 123 offices within
the corporation.
a) Using a ratio estimator, estimate ty and place a bound on the error of estimation.
Use the data in the accompanying table and take tx = 128,200.
b) Also estimate the mean earnings for office within the corporation and place a bound on
the error of estimation.
Three-month
data from
Three-month
Three-month
Three-month
data from
data from
data from
Office
previous year, X;
current year, y;
Office
previous year, X;
current year, y;
1
550
610
1200
1440
2
720
780
1350
1570
3
1500
1600
10
1750
2210
1020
1030
11
670
980
620
600
12
729
865
980
1050
13
1530
1710
7
928
977

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