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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 σ: (μ=30 4.2 X~N 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. 0.9798✓ (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 ~N (Hx 30 ox 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. 0.9276 x (Round the answer to 4 decimal places)

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 σ: (μ=30 4.2 X~N 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. 0.9798✓ (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 ~N (Hx 30 ox 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. 0.9276 x (Round the answer to 4 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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: (μ = 30 ✓,0 = 4.2 X~N 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. 0.9798✔ (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) (PX ✓₁0x = 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. 0.9276 x (Round the answer to 4 decimal places) X~N 30
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: (μ = 30 ✓,0 = 4.2 X~N 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. 0.9798✔ (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) (PX ✓₁0x = 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. 0.9276 x (Round the answer to 4 decimal places) X~N 30
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