You are given the following information: random sample of independent, normally distributed observations with unknown mean u and known standard deviation o = 6. The sample size is n= 26. You wish to test the null hypothesis Ho:u = 40 against the alternative hypothesis H: u < 40. What value c, so that the sample mean X < c, gives probability of Type I error equal to 5%? Give your answer for c accurate to 4 decimal places. Answer:

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
You are given the following information: random sample of independent, normally distributed
observations with unknown mean u and known standard deviation o = 6. The sample size is n= 26. You
wish to test the null hypothesis Ho: µ = 40 against the alternative hypothesis H,: u < 40. What value c, so
that the sample mean X < c, gives probability of Type I error equal to 5%?
%3D
Give your answer for c accurate to 4 decimal places.
Answer:
Check
Next page
page
O E O m
ch
19
hp
Transcribed Image Text:You are given the following information: random sample of independent, normally distributed observations with unknown mean u and known standard deviation o = 6. The sample size is n= 26. You wish to test the null hypothesis Ho: µ = 40 against the alternative hypothesis H,: u < 40. What value c, so that the sample mean X < c, gives probability of Type I error equal to 5%? %3D Give your answer for c accurate to 4 decimal places. Answer: Check Next page page O E O m ch 19 hp
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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