According to a study, the time between taking a pain reliever and getting relief for a randomly selected patient has unknown distribution with a mean of 42 minutes and a standard deviation of 4.5 minutes. Let XX be the time between taking a pain reliever and getting relief for a randomly selected patient and let ¯¯¯XX¯ be the average time between taking a pain reliever and getting relief for a random sample of size 33. 1. Describe the probability distribution of XX and state its parameters μμ and σσ: X~X~ Select an answer B ? χ² N F T ( μ=μ= , σ=σ= ) and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is less than 50 minutes. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer the original population is normally distributed although the sample size is small (n<30) the sample size is large (n>30) although the distribution of the original populaiton is unknown the original population is normally distributed and the sample is large (n>30) the sample size is small (n<30) and the distribution of the original population is unknown to describe the probability distribution of ¯¯¯XX¯ and state its parameters μ¯¯¯XμX¯ and σ¯¯¯XσX¯: (Round the answers to 1 decimal place)

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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According to a study, the time between taking a pain reliever and getting relief for a randomly selected patient has unknown distribution with a mean of 42 minutes and a standard deviation of 4.5 minutes. Let XX be the time between taking a pain reliever and getting relief for a randomly selected patient and let ¯¯¯XX¯ be the average time between taking a pain reliever and getting relief for a random sample of size 33.

1. Describe the probability distribution of XX and state its parameters μμ and σσ:

X~X~ Select an answer B ? χ² N F T ( μ=μ= , σ=σ= )

and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is less than 50 minutes.

(Round the answer to 4 decimal places)

2. Use the Central Limit Theorem

Select an answer the original population is normally distributed although the sample size is small (n<30) the sample size is large (n>30) although the distribution of the original populaiton is unknown the original population is normally distributed and the sample is large (n>30) the sample size is small (n<30) and the distribution of the original population is unknown

to describe the probability distribution of ¯¯¯XX¯ and state its parameters μ¯¯¯XμX¯ and σ¯¯¯XσX¯: (Round the answers to 1 decimal place)

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