Suppose x has a distribution with a mean of 70 and a standard deviation of 3. Random samples of size  n = 36  are drawn.   (a) Describe the  x distribution  and compute the mean and standard deviation of the distribution. x  has         distribution with  mean ?x =

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

Suppose x has a distribution with a mean of 70 and a standard deviation of 3. Random samples of size 

n = 36

 are drawn.

 
(a) Describe the 
x distribution
 and compute the mean and standard deviation of the distribution.
x
 has         distribution with 
mean ?x = 
 and 
standard deviation ?x =  .

(b) Find the z value corresponding to 
x = 69.5.

z =  


(c) Find 
P(x < 69.5).
 (Round your answer to four decimal places.)
P(x < 69.5) =  


(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 69.5? Explain.
Yes, it would be unusual because less than 5% of all such samples have means less than 69.5.
No, it would not be unusual because more than 5% of all such samples have means less than 69.5.    
Yes, it would be unusual because more than 5% of all such samples have means less than 69.5.
No, it would not be unusual because less than 5% of all such samples have means less than 69.5.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

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