An employment information service claims the mean annual pay for​ full-time male workers over age 25 without a high school diploma is ​$22,300. The annual pay for a random sample of 10 ​full-time male workers over age 25 without a high school diploma is listed. At α=0.01​, test the claim that the mean salary is ​$22,300. Assume the population is normally distributed.   20,655 21,137 22,354 21,395 22,970 16,912 19,155 23,193 24,188 26,290   ​   ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   What​ is(are) the critical​ value(s), t0​?     t0= ​(Use a comma to separate answers as needed. Round to three decimal places as​ needed.)     ​(c) Find the standardized test statistic. t= (Round to two decimal places as​ needed.)

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
Topic Video
Question

An employment information service claims the mean annual pay for​ full-time male workers over age 25 without a high school diploma is ​$22,300. The annual pay for a random sample of 10 ​full-time male workers over age 25 without a high school diploma is listed. At α=0.01​, test the claim that the mean salary is ​$22,300. Assume the population is normally distributed.

 

20,655

21,137

22,354

21,395

22,970

16,912

19,155

23,193

24,188

26,290

 

 

​(b) Find the critical​ value(s) and identify the rejection​ region(s).

 

What​ is(are) the critical​ value(s), t0​?

 

 

t0=

​(Use a comma to separate answers as needed. Round to three decimal places as​ needed.)

 

 

​(c) Find the standardized test statistic.

t=

(Round to two decimal places as​ needed.)

Expert Solution
Step 1

The null and alternative hypothesis is given by;

H0: μ=22300Ha: μ22300The level of significance is;α=0.01

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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