A researcher wants to test the relationship between the number of years of formal education received (X) and the average weekly earnings (Y,) (measured in hundred dollars). report released by a government agency suggests that the average weekly earnings of individuals with no formal education is equal to $545. The researcher wants to test whether the average weekly earnings with no formal education is $545 or greater than hat. He collects data from a sample of 150 individuals and estimates the following regression function: ŷ = 6.91 + 1.21X, (2.45) (4.25) where Y, is the predicted value of the weekly earnings for the " individual and the standard errors for the coefficients appear in parenthesis. he t-statistic for the test the researcher wants to conduct will be 0.60'. Round your answer to two decimal places.) at the 5% significance level, the researcher will v the null hypothesis that the average weekly earnings of individuals with no formal education i equal to $545 reject fail to reject

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

provide detailed solution 

A researcher wants to test the relationship between the number of years of formal education received (X;) and the average weekly earnings (Y;) (measured in hundred dollars).
A report released by a government agency suggests that the average weekly earnings of individuals with no formal education is equal to $545. The researcher wants to test whether the average weekly earnings with no formal education is $545 or greater than
that. He collects data from a sample of 150 individuals and estimates the following regression function:
ŷ, = 6.91 + 1.21X;,
(2.45) (4.25)
where Y, is the predicted value of the weekly earnings for the " individual and the standard errors for the coefficients appear in parenthesis.
The t-statistic for the test the researcher wants to conduct will be 0.60
(Round your answer to two decimal places.)
At the 5% significance level, the researcher will
v the null hypothesis that the average weekly earnings of individuals with no formal education is equal to $545.
reject
fail to reject
Transcribed Image Text:A researcher wants to test the relationship between the number of years of formal education received (X;) and the average weekly earnings (Y;) (measured in hundred dollars). A report released by a government agency suggests that the average weekly earnings of individuals with no formal education is equal to $545. The researcher wants to test whether the average weekly earnings with no formal education is $545 or greater than that. He collects data from a sample of 150 individuals and estimates the following regression function: ŷ, = 6.91 + 1.21X;, (2.45) (4.25) where Y, is the predicted value of the weekly earnings for the " individual and the standard errors for the coefficients appear in parenthesis. The t-statistic for the test the researcher wants to conduct will be 0.60 (Round your answer to two decimal places.) At the 5% significance level, the researcher will v the null hypothesis that the average weekly earnings of individuals with no formal education is equal to $545. reject fail to reject
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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