Test the difference in means with two populations when o is known 1. Two independent random samples are drawn from two colleges in Texas to investigate annual salaries of the new graduates. Assume that we know population standard deviations of the annual salary. College A College B Sample Size 100 120 Sample Mean (in $1000) 72 65 Population Standard Deviation (in $1000) 25 20 a. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Compute the test statistic. b. Compute the p-value; and at a= .05, test the llypotheses. c. Which company, if either, appears to have the higher salary? Provide a 95% confidence interval for the difference between the population mean salary of employees for the two companies.

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
Test the difference in means with two populations when a is known
1. Two independent random samples are drawn from two colleges in Texas to investigate
annual salaries of the new graduates. Assume that we know population standard deviations of
the annual salary.
College A
College B
Sample Size
100
120
Sample Mean (in $1000)
72
65
Population Standard Deviation (in $1000) 25
20
a. We want to determine whether or not there is a significant difference between the average
salaries of the employees at the two companies. Compute the test statistic.
b. Compute the p-value; and at a = .05, test the lypotheses.
c. Which company, if either, appears to have the higher salary? Provide a 95% confidence
interval for the difference between the population mean salary of employees for the two
companies.
Transcribed Image Text:Test the difference in means with two populations when a is known 1. Two independent random samples are drawn from two colleges in Texas to investigate annual salaries of the new graduates. Assume that we know population standard deviations of the annual salary. College A College B Sample Size 100 120 Sample Mean (in $1000) 72 65 Population Standard Deviation (in $1000) 25 20 a. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Compute the test statistic. b. Compute the p-value; and at a = .05, test the lypotheses. c. Which company, if either, appears to have the higher salary? Provide a 95% confidence interval for the difference between the population mean salary of employees for the two companies.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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