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 isn3D26. You wish to test the null hypothesis Ho: u = 40 against the alternative hypothesis H: µ < 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: 38.07 Check

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

I got 38.07 and I'm not sure why it's wrong

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, µ < 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: 38.07
Check
prim
viden
林
19
Type here to search
hp
(12
fjo
f9
f7
fa
f5
f6
&
7
80
3
5
96
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: u = 40 against the alternative hypothesis H, µ < 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: 38.07 Check prim viden 林 19 Type here to search hp (12 fjo f9 f7 fa f5 f6 & 7 80 3 5 96
Expert Solution
steps

Step by step

Solved in 2 steps

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