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 and o: (μ= X~ Select an answer Select an answer B |N T F x² unknown 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. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the sample size is large (n>30) although the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown the original population is normally distributed the distribution of the original population is unknown 0 = to describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1 decimal place) X Select an answer (x= Select an answer B T N unknown. ox= 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. (Round the answer to 4 decimal places)

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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 and σ:
X~ Select an answer (=
Select an answer
B
N
T
F
X²
unknown
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.
σ=
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
Select an answer
Select an answer
the sample size is large (n>30) although the distribution of the original population is unknown
the sample size is small (n<30) and the distribution of the original population is unknown
the original population is normally distributed
the distribution of the original population is unknown
to describe the probability distribution of X and state its parameters μx and ox: (Round the answers to 1
decimal place)
X~ Select an answer (x=
Select an answer
B
x²
T
F
N
unknown
σχ
=
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.
(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 and σ: X~ Select an answer (= Select an answer B N T F X² unknown 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. σ= (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the sample size is large (n>30) although the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown the original population is normally distributed the distribution of the original population is unknown to describe the probability distribution of X and state its parameters μx and ox: (Round the answers to 1 decimal place) X~ Select an answer (x= Select an answer B x² T F N unknown σχ = 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. (Round the answer to 4 decimal places)
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