According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 199 dollars and a standard deviation of 20.6 dollars. Let X be the amount of spending of a randomly selected customer and let S be the total amount of spending of a random sample of size 5. 1. Describe the probability distribution of X and state its parameters μ and o: X ~Select an answer Select an answer unknown XBTNLL F and find the probability that the amount of spending of a randomly selected customer is less than 204 dollars. (Round the answer to 4 decimal places) σ = 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 S and state its parameters μg and og: (Round the answers to 1 decimal place) S~ Select an answer (S Select an answer T B unknown F N X² σS and find the probability that the total amount of spending of a sample of 5 randomly selected customers is between 929 and 1000 dollars.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Question 6
GENERAL
STORE
X~ Select an answer (=
Select an answer
unknown
According to research, the amount of spending of a randomly selected customer has a normal distribution
with a mean of 199 dollars and a standard deviation of 20.6 dollars. Let X be the amount of spending of a
randomly selected customer and let S be the total amount of spending of a random sample of size 5.
1. Describe the probability distribution of X and state its parameters and o:
x²
B
N
OPEN
and find the probability that the amount of spending of a randomly selected customer is less than 204
dollars.
0 =
(Round the answer to 4 decimal places)
S~ Select an answer ✓ us=
Select an answer
IT
B
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 S and state its parameters μg and og: (Round the answers to 1
decimal place)
unknown
F
N
|x²
RECEIPT
σS
and find the probability that the total amount of spending of a sample of 5 randomly selected customers is
between 929 and 1000 dollars.
(Round the answer to 4 decimal places)
Transcribed Image Text:Question 6 GENERAL STORE X~ Select an answer (= Select an answer unknown According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 199 dollars and a standard deviation of 20.6 dollars. Let X be the amount of spending of a randomly selected customer and let S be the total amount of spending of a random sample of size 5. 1. Describe the probability distribution of X and state its parameters and o: x² B N OPEN and find the probability that the amount of spending of a randomly selected customer is less than 204 dollars. 0 = (Round the answer to 4 decimal places) S~ Select an answer ✓ us= Select an answer IT B 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 S and state its parameters μg and og: (Round the answers to 1 decimal place) unknown F N |x² RECEIPT σS and find the probability that the total amount of spending of a sample of 5 randomly selected customers is between 929 and 1000 dollars. (Round the answer to 4 decimal places)
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