According to the USGS, the daily water consumption for a US household has an unknown distribution with a mean of 127 gallons and a standard deviation of 6.6 gallons. Let X be the daily water consumption for a randomly selected a US household and let S be the total daily water consumption for a random sample of size 49. 1. Describe the probability distribution of X and state its parameters μ and σ: X ~ Select an answer ( μ = σπ and find the probability that the daily water consumption for a randomly selected a US household is between 115 and 115 gallons. 2. Use the Central Limit Theorem Select an answer (Round the answer to 4 decimal places) 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 = ,σς and find the probability that the total daily water consumption for a sample of 49 randomly selected US households is less than 6268 gallons. (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
Section10.5: Comparing Sets Of Data
Problem 13PPS
Question
According to the USGS, the daily water consumption for a US household has an unknown distribution with a
mean of 127 gallons and a standard deviation of 6.6 gallons. Let X be the daily water consumption for a
randomly selected a US household and let S be the total daily water consumption for a random sample of
size 49.
1. Describe the probability distribution of X and state its parameters μ and σ:
X ~ Select an answer (
μ =
σπ
and find the probability that the daily water consumption for a randomly selected a US household is
between 115 and 115 gallons.
2. Use the Central Limit Theorem
Select an answer
(Round the answer to 4 decimal places)
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 =
,σς
and find the probability that the total daily water consumption for a sample of 49 randomly selected US
households is less than 6268 gallons.
(Round the answer to 4 decimal places)
Transcribed Image Text:According to the USGS, the daily water consumption for a US household has an unknown distribution with a mean of 127 gallons and a standard deviation of 6.6 gallons. Let X be the daily water consumption for a randomly selected a US household and let S be the total daily water consumption for a random sample of size 49. 1. Describe the probability distribution of X and state its parameters μ and σ: X ~ Select an answer ( μ = σπ and find the probability that the daily water consumption for a randomly selected a US household is between 115 and 115 gallons. 2. Use the Central Limit Theorem Select an answer (Round the answer to 4 decimal places) 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 = ,σς and find the probability that the total daily water consumption for a sample of 49 randomly selected US households is less than 6268 gallons. (Round the answer to 4 decimal places)
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,