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
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman