According to a study, the time between taking a pain reliever and getting relief of a randomly selected patient is normally distributed with a mean of 33 minutes and a standard deviation of 5.2 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 16. 1. Describe the probability distribution of X and state its parameters μ and o: 5.0) and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is between 30 and 33 minutes. (Round the answer to 4 decimal places) X~ N 2. Use the Central Limit Theorem (μ = 33 0 " X N σ= the original population is normally distributed although the sample size is small (n<30) to describe the probability distribution of X and state its parameters μ and ox: (Round the answers to 1 decimal place) ở (UX = and find the probability that the average time between taking a pain reliever and getting relief for a sample of 16 randomly selected patients is between 33 and 34 minutes. (Round the answer to 4 decimal places) , 0x =
According to a study, the time between taking a pain reliever and getting relief of a randomly selected patient is normally distributed with a mean of 33 minutes and a standard deviation of 5.2 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 16. 1. Describe the probability distribution of X and state its parameters μ and o: 5.0) and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is between 30 and 33 minutes. (Round the answer to 4 decimal places) X~ N 2. Use the Central Limit Theorem (μ = 33 0 " X N σ= the original population is normally distributed although the sample size is small (n<30) to describe the probability distribution of X and state its parameters μ and ox: (Round the answers to 1 decimal place) ở (UX = and find the probability that the average time between taking a pain reliever and getting relief for a sample of 16 randomly selected patients is between 33 and 34 minutes. (Round the answer to 4 decimal places) , 0x =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:According to a study, the time between taking a pain reliever and getting relief of a randomly selected
patient is normally distributed with a mean of 33 minutes and a standard deviation of 5.2 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 16.
1. Describe the probability distribution of X and state its parameters μ and o:
or (μ =
33✔ 0 O = 5.✔ O
and find the probability that the time between taking a pain reliever and getting relief for a randomly
selected patient is between 30 and 33 minutes.
(Round the answer to 4 decimal places)
X~ N
2. Use the Central Limit Theorem
the original population is normally distributed although the sample size is small (n<30)
to describe the probability distribution of X and state its parameters µ and σx: (Round the answers to
1 decimal place)
(μX =
and find the probability that the average time between taking a pain reliever and getting relief for a
sample of 16 randomly selected patients is between 33 and 34 minutes.
(Round the answer to 4 decimal places)
X N
ox =
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