Testing: Ho:μ: = 40.2 Ηι:μ # 40.2 Your sample consists of 48 values, with a sample mean of 39.2. Suppose the population standard deviation is known to be 2.63. a) Calculate the value of the test statistic, rounded to 2 decimal places. z = b) At a = 0.03, the rejection region is Oz -2.17 or z > 2.17 Oz -1.88 or z> 1.88 z > 1.88 z > 2.17 z < -1.88 Oz < -2.17 c) The decision is to Accept the alternative hypotheis Fail to reject the null hypothesis Reject the null hypothesis Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Type I Type II

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:
Ηο:μ
= 40.2
H₁:μ ‡ 40.2
Your sample consists of 48 values, with a sample mean of 39.2. Suppose the population standard
deviation is known to be 2.63.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
z =
b) At a = 0.03, the rejection region is
Oz
-2.17 or z > 2.17
Oz -1.88 or z> 1.88
Oz > 1.88
Oz > 2.17
Oz < -1.88
Oz < -2.17
c) The decision is to
Accept the alternative hypotheis
Fail to reject the null hypothesis
Reject the null hypothesis
Accept the null hypothesis
d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?
Type I
Type II
Transcribed Image Text:Testing: Ηο:μ = 40.2 H₁:μ ‡ 40.2 Your sample consists of 48 values, with a sample mean of 39.2. Suppose the population standard deviation is known to be 2.63. a) Calculate the value of the test statistic, rounded to 2 decimal places. z = b) At a = 0.03, the rejection region is Oz -2.17 or z > 2.17 Oz -1.88 or z> 1.88 Oz > 1.88 Oz > 2.17 Oz < -1.88 Oz < -2.17 c) The decision is to Accept the alternative hypotheis Fail to reject the null hypothesis Reject the null hypothesis Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Type I Type II
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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