The medical records of infants delivered at Kaiser Memorial Hospital show tl distribution of infant lengths at birth (in inches) are N(20, 2.6). Find the pro nfants among those delivered at the hospital who have the following measur At least 22 inches

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
The medical records of infants delivered at Kaiser Memorial Hospital show that the
distribution of infant lengths at birth (in inches) are N(20, 2.6). Find the proportion of
infants among those delivered at the hospital who have the following measures.
At least 22 inches.
At most 18 inches.
Transcribed Image Text:The medical records of infants delivered at Kaiser Memorial Hospital show that the distribution of infant lengths at birth (in inches) are N(20, 2.6). Find the proportion of infants among those delivered at the hospital who have the following measures. At least 22 inches. At most 18 inches.
Expert Solution
Step 1

Given information:

Mean=20

Standard deviation=2.6

The proportion of infants among those delivered at the hospital at least 22 inches is,

P(X>=22)

=P((X-mean)/sd>=(22-mean)/sd)

=P(z>=(22-20)/2.6)

=P(z>=0.77)

=1-P(z<0.77)

=1-0.7794 from the standard normal table

=0.2206

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