Assume that females have pulse rates that are normally distributed with a mean of u = 77.0 beats per minute a standard deviation of o = 12.0 beats per minute.

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
Topic Video
Question

I am unable to figure out how the area (0.6915) in this example problem was reached. The problem says to "use technology", but doesn't specify how. I have tried to solve it multiple times in different ways using my TI-84 Plus calculator, but with no success. My calculator has given me errors several of the times that I have tried. Is there a step that I'm missing?

Assume that females have pulse rates that are normally distributed with a mean of u =77.0 beats per minute ar
a standard deviation of o = 12.0 beats per minute.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per
minute.
Notice that an individual value from a normally distributed population has been chosen. Therefore, use the
population distribution to determine the probability.
First, convert the pulse rate to the corresponding z-score using z =
and the population distribution
statistics.
83 – 77.0
Z =
12.0
= 0.5
The area that corresponds to the probability that an adult female's pulse rate is less than 83 beats per minute
is the area under the standard normal distribution curve to the left of z = 0.5.
While technology or a standard normal distribution table can be
used to find the area to the left of z = 0.5, for this problem, use
taahnallau rai ndins ta faur dasimalnlann
Transcribed Image Text:Assume that females have pulse rates that are normally distributed with a mean of u =77.0 beats per minute ar a standard deviation of o = 12.0 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute. Notice that an individual value from a normally distributed population has been chosen. Therefore, use the population distribution to determine the probability. First, convert the pulse rate to the corresponding z-score using z = and the population distribution statistics. 83 – 77.0 Z = 12.0 = 0.5 The area that corresponds to the probability that an adult female's pulse rate is less than 83 beats per minute is the area under the standard normal distribution curve to the left of z = 0.5. While technology or a standard normal distribution table can be used to find the area to the left of z = 0.5, for this problem, use taahnallau rai ndins ta faur dasimalnlann
83 - 77.0
Z =
12.0
= 0.5
The area that corresponds to the probability that an adult female's pulse rate is less than 83 beats per minute
is the area under the standard normal distribution curve to the left of z = 0.5.
While technology or a standard normal distribution table can be
used to find the area to the left of z = 0.5, for this problem, use
technology, rounding to four decimal places.
The area is 0.6915.
X = 83
µ = 77.0
Press Continue to see more
Transcribed Image Text:83 - 77.0 Z = 12.0 = 0.5 The area that corresponds to the probability that an adult female's pulse rate is less than 83 beats per minute is the area under the standard normal distribution curve to the left of z = 0.5. While technology or a standard normal distribution table can be used to find the area to the left of z = 0.5, for this problem, use technology, rounding to four decimal places. The area is 0.6915. X = 83 µ = 77.0 Press Continue to see more
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Sequence
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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