Testing: H0:μ≥30.2H0:μ≥30.2 H1:μ<30.2H1:μ<30.2 Your sample consists of 24 values, with a sample mean of 30. Suppose the population standard deviation is known to be 4.79. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At α=0.03α=0.03, the rejection region is z>1.88z>1.88 z>2.17z>2.17 z<-2.17z<-2.17 z<-2.17orz>2.17z<-2.17orz>2.17 z<-1.88orz>1.88z<-1.88orz>1.88 z<-1.88z<-1.88 c) The decision is to Fail to reject the null hypothesis Reject the null hypothesis Accept the null hypothesis

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

Testing:

H0:μ≥30.2H0:μ≥30.2
H1:μ<30.2H1:μ<30.2

Your sample consists of 24 values, with a sample mean of 30. Suppose the population standard deviation is known to be 4.79.

a) Calculate the value of the test statistic, rounded to 2 decimal places.
z=z=

b) At α=0.03α=0.03, the rejection region is

  • z>1.88z>1.88
  • z>2.17z>2.17
  • z<-2.17z<-2.17
  • z<-2.17orz>2.17z<-2.17orz>2.17
  • z<-1.88orz>1.88z<-1.88orz>1.88
  • z<-1.88z<-1.88


c) The decision is to

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
  • Accept the null hypothesis
  • Accept the alternative hypotheis


d) Suppose you mistakenly failed to reject the null hypothesis in this problem, what type of error is that?

  • Type I
  • Type II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

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