According to a study, the time between taking a pain reliever and getting relief of a randomly selected patient has a normal distribution with a mean of 30 minutes and a standard deviation of 4.2 minutes. Let X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X be the average time between taking a pain reliever and getting relief for a random sample of size 38. 1. Describe the probability distribution of X and state its parameters μ and o: X~N (μ=30,0 = 4.2 ✔ and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is less than 38.6 minutes. 0.6636 X (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) X ~IN (Hx=30 x = 0.7 and find the probability that the average time between taking a pain reliever and getting relief for a sample of 38 randomly selected patients is between 28 and 31 minutes. 0.9798 x (Round the answer to 4 decimal places)

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
Question 5
According to a study, the time between taking a pain reliever and getting relief of a randomly selected
patient has a normal distribution with a mean of 30 minutes and a standard deviation of 4.2 minutes. Let
X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X
be the average time between taking a pain reliever and getting relief for a random sample of size 38.
1. Describe the probability distribution of X and state its parameters μ and o:
X~N
(30,0 = 4.2
and find the probability that the time between taking a pain reliever and getting relief for a randomly
selected patient is less than 38.6 minutes.
0.6636 x (Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
only answer the boxed one
the original population is normally distributed
to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1
decimal place)
X ~N
(HX) 30
x = 0.7
and find the probability that the average time between taking a pain reliever and getting relief for a
sample of 38 randomly selected patients is between 28 and 31 minutes.
0.9798 x (Round the answer to 4 decimal places)
Transcribed Image Text:Question 5 According to a study, the time between taking a pain reliever and getting relief of a randomly selected patient has a normal distribution with a mean of 30 minutes and a standard deviation of 4.2 minutes. Let X be the time between taking a pain reliever and getting relief for a randomly selected patient and let X be the average time between taking a pain reliever and getting relief for a random sample of size 38. 1. Describe the probability distribution of X and state its parameters μ and o: X~N (30,0 = 4.2 and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is less than 38.6 minutes. 0.6636 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem only answer the boxed one the original population is normally distributed to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) X ~N (HX) 30 x = 0.7 and find the probability that the average time between taking a pain reliever and getting relief for a sample of 38 randomly selected patients is between 28 and 31 minutes. 0.9798 x (Round the answer to 4 decimal places)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

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