Actice find their mean wage to be $14.50/ hour. Assume that it is known that wages are normally distributed with a true standard deviation of $5.00. Researchers studying wages in New York State survey 150 fast food workers and a) Find a 99% lower confidence bound for the true mean hourly wages for fast food workers in New York State. b) Perform a hypothesis test of Ho:µ = 15 vs. Ha:µ + 15. with a = .1. What is your conclusion?

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
icon
Concept explainers
Question
3rACtice
find their mean wage to be $14.50 / hour. Assume that it is known that wages are normally
distributed with a true standard deviation of $5.00.
Researchers studying wages in New York State survey 150 fast food workers and
a)
Find a 99% lower confidence bound for the true mean hourly wages for fast food
workers in New York State.
b)
Perform a hypothesis test of Ho: µ = 15 vs. Ha: µ # 15. with a = .1. What is your
conclusion?
c)
If the true mean wage is $14, what sample size is needed to ensure that the type 2
error is not above 30%?
Transcribed Image Text:3rACtice find their mean wage to be $14.50 / hour. Assume that it is known that wages are normally distributed with a true standard deviation of $5.00. Researchers studying wages in New York State survey 150 fast food workers and a) Find a 99% lower confidence bound for the true mean hourly wages for fast food workers in New York State. b) Perform a hypothesis test of Ho: µ = 15 vs. Ha: µ # 15. with a = .1. What is your conclusion? c) If the true mean wage is $14, what sample size is needed to ensure that the type 2 error is not above 30%?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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.
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