Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0μ=72.0 beats per minute and a standard deviation of sigma equals 12.5σ=12.5 beats per minute.   Complete parts​ (a) through​ (c) below. a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 6666 beats per minute and 7878 beats per minute.   The probability is _____. ​(Round to four decimal places as​ needed.)   b. If 1616 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 6666 beats per minute and 7878 beats per minute.   The probability is ____. ​(Round to four decimal places as​ needed.)   c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?     A. Since the mean pulse rate exceeds​ 30, the distribution of sample means is a normal distribution for any sample size.   B. Since the distribution is of sample​ means, not​ individuals, the distribution is a normal distribution for any sample size.   C. Since the distribution is of​ individuals, not sample​ means, the distribution is a normal distribution for any sample size.   D. Since the original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size.

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
Assume that females have pulse rates that are normally distributed with a mean of
mu equals 72.0μ=72.0 beats per minute and a standard deviation of sigma equals 12.5σ=12.5 beats per minute.
 
Complete parts​ (a) through​ (c) below.
a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between
6666 beats per minute and 7878 beats per minute.
 
The probability is _____.
​(Round to four decimal places as​ needed.)
 
b. If 1616 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 6666 beats per minute and 7878 beats per minute.
 
The probability is ____.
​(Round to four decimal places as​ needed.)
 
c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?
 
 
A.
Since the mean pulse rate exceeds​ 30, the distribution of sample means is a normal distribution for any sample size.
 
B.
Since the distribution is of sample​ means, not​ individuals, the distribution is a normal distribution for any sample size.
 
C.
Since the distribution is of​ individuals, not sample​ means, the distribution is a normal distribution for any sample size.
 
D.
Since the original population has a normal​ distribution, the distribution of sample means is a normal distribution for any sample size.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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