According to a study, the time between taking a pain reliever and getting relief has unknown distribution with a mean of 32 minutes and a standard deviation of 4.7 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 11. 1. Describe the probability distribution of X and state its parameters μ and o: x (μ=32,0 4.7 X~N and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is more than 46 minutes. 0.0014 x (Round the answer to 4 decimal places) 2. Explain why the Central Limit Theorem cannot be used Select an answer Select an answer the original population is normally distributed and the sample is large (n>30) 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 population is unknown the sample size is small (n<30) and the distribution of the original population is unknown

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Question 1
According to a study, the time between taking a pain reliever and getting relief has unknown distribution
with a mean of 32 minutes and a standard deviation of 4.7 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 11.
1. Describe the probability distribution of X and state its parameters μ and o:
X~N
x (μ=32,0 = 4.7 ✔
and find the probability that the time between taking a pain reliever and getting relief for a randomly
selected patient is more than 46 minutes.
0.0014 x (Round the answer to 4 decimal places)
2. Explain why the Central Limit Theorem cannot be used
Select an answer
Select an answer
the original population is normally distributed and the sample is large (n>30)
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 population is unknown
the sample size is small (n<30) and the distribution of the original population is unknown
Transcribed Image Text:Question 1 According to a study, the time between taking a pain reliever and getting relief has unknown distribution with a mean of 32 minutes and a standard deviation of 4.7 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 11. 1. Describe the probability distribution of X and state its parameters μ and o: X~N x (μ=32,0 = 4.7 ✔ and find the probability that the time between taking a pain reliever and getting relief for a randomly selected patient is more than 46 minutes. 0.0014 x (Round the answer to 4 decimal places) 2. Explain why the Central Limit Theorem cannot be used Select an answer Select an answer the original population is normally distributed and the sample is large (n>30) 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 population is unknown the sample size is small (n<30) and the distribution of the original population is unknown
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