According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 155 dollars and a standard deviation of 23.5 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 33. 1. Describe the probability distribution of X and state its parameters μ and σ: ✗~Select an answer (μ = =b and find the probability that the amount of spending of a randomly selected customer is between 191 and 225 dollars. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of S and state its parameters μs and σs: (Round the answers to 1 decimal place) S~Select an answer (μs = σs= and find the probability that the total amount of spending of a sample of 33 randomly selected customers is more than 4925 dollars. (Round the answer to 4 decimal places)

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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SPACA
FOR PA
Z
According to research, the amount of spending of a randomly selected customer has a normal distribution
with a mean of 155 dollars and a standard deviation of 23.5 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 33.
1. Describe the probability distribution of X and state its parameters and σ:
μ
X~Select an answer
(μ=
☐
=0
and find the probability that the amount of spending of a randomly selected customer is between 191 and
225 dollars.
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
Select an answer
to describe the probability distribution of S and state its parameters us and σs: (Round the answers to 1
decimal place)
S~Select an answer (μS
=
=0,0
σς
=
and find the probability that the total amount of spending of a sample of 33 randomly selected customers
is more than 4925 dollars.
(Round the answer to 4 decimal places)
Transcribed Image Text:SPACA FOR PA Z According to research, the amount of spending of a randomly selected customer has a normal distribution with a mean of 155 dollars and a standard deviation of 23.5 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 33. 1. Describe the probability distribution of X and state its parameters and σ: μ X~Select an answer (μ= ☐ =0 and find the probability that the amount of spending of a randomly selected customer is between 191 and 225 dollars. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of S and state its parameters us and σs: (Round the answers to 1 decimal place) S~Select an answer (μS = =0,0 σς = and find the probability that the total amount of spending of a sample of 33 randomly selected customers is more than 4925 dollars. (Round the answer to 4 decimal places)
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