A population of values has a normal distribution with u = 20.3 and o = 86.5. You intend to draw a random sample of size n = 205. Find the probability that a single randomly selected value is greater than 29.4. P(X > 29.4) = Find the probability that a sample of size n = 205 is randomly selected with a mean greater than 29.4. P(M > 29.4) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted.

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
A population of values has a normal distribution with \( \mu = 20.3 \) and \( \sigma = 86.5 \). You intend to draw a random sample of size \( n = 205 \).

Find the probability that a single randomly selected value is greater than 29.4.

\[ P(X > 29.4) = \, \]

Find the probability that a sample of size \( n = 205 \) is randomly selected with a mean greater than 29.4.

\[ P(M > 29.4) = \, \]

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 20.3 \) and \( \sigma = 86.5 \). You intend to draw a random sample of size \( n = 205 \). Find the probability that a single randomly selected value is greater than 29.4. \[ P(X > 29.4) = \, \] Find the probability that a sample of size \( n = 205 \) is randomly selected with a mean greater than 29.4. \[ P(M > 29.4) = \, \] Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 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