Question 1 POST OFFICE ccording to a USPS study, the weight of a randomly selected shipment box has unknown distribution with a ean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipment ox and let S be the total weight of a random sample of size 9. Describe the probability distribution of X and state its parameters and o: X~ ~Select an answer (f: Select an answer B unknown T F N x² I J = nd find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs. (Round the answer to 4 decimal places) . Explain why the Central Limit Theorem cannot be used Select an answer Select an answer the original population is normally distributed although the sample size is small (n<30) the sample size is small (n<30) and the distribution of the original population is unknown the original population is normally distributed and the sample is large (n>30) the sample size is large (n>30) although the distribution of the original populaiton is unknown

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question 1
T
POST OFFICE
According to a USPS study, the weight of a randomly selected shipment box has unknown distribution with a
mean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipment
box and let S be the total weight of a random sample of size 9.
1. Describe the probability distribution of X and state its parameters and σ:
X- ~Select an answer (μl
Select an answer
B
unknown
T
N
X²
J =
and find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs.
(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 although the sample size is small (n<30)
the sample size is small (n<30) and the distribution of the original population is unknown
the original population is normally distributed and the sample is large (n>30)
the sample size is large (n>30) although the distribution of the original populaiton is unknown
Transcribed Image Text:Question 1 T POST OFFICE According to a USPS study, the weight of a randomly selected shipment box has unknown distribution with a mean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipment box and let S be the total weight of a random sample of size 9. 1. Describe the probability distribution of X and state its parameters and σ: X- ~Select an answer (μl Select an answer B unknown T N X² J = and find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs. (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 although the sample size is small (n<30) the sample size is small (n<30) and the distribution of the original population is unknown the original population is normally distributed and the sample is large (n>30) the sample size is large (n>30) although the distribution of the original populaiton is unknown
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