Given a normal distribution with μ=104 and σ=20​, and given you select a sample of n=16​, complete parts​ (a) through​ (d)? Can you show which PHStat method to use for each to get the answer? Please be detail about it because I dont understand. a. What is the probability that X is less than 95​? ​P(X<95​)=0.0359=   b. What is the probability that X is between 95 and 95.5​? P(95104.4​)=

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

1.  Given a normal distribution with μ=104 and σ=20​, and given you select a sample of n=16​, complete parts​ (a) through​ (d)? Can you show which PHStat method to use for each to get the answer? Please be detail about it because I dont understand.

a. What is the probability that X is less than 95​?

​P(X<95​)=0.0359=
 
b. What is the probability that X is between 95 and 95.5​?
P(95<X<95.5​)=
 
c. What is the probability that X is above 104.4​?
​P(X>104.4​)=
 
 d. There is a 66​% chance that X is above what​ value?
X=
 

 

Expert Solution
Step 1

Given that 

X~N( μ =104  , ? = 20 )

n=16 , μ = 104 , ? = 20

Formula for Z-score 

Z-score =( x - μ )/?

Note: According to bartleby experts question answers guidelines an expert can solve only first three sub parts of one question rest can be reposted 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 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