Suppose the average size of a new house built in a certain county in 2014 was 2,272 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,192, with a sample standard deviation of 227 square feet. Complete parts a and b. a. Using a =0.02, does this sample provide enough evidence to conclude that the average house size of a new home in he county has changed since 2014? Determine the null and alternative hypotheses. +₁: H Type integers or decimals. Do not round.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Suppose the average size of a new house built in a certain county in 2014 was 2,272 square feet. A random sample of
25 new homes built in this county was selected in 2018. The average square footage was 2,192, with a sample standard
deviation of 227 square feet. Complete parts a and b.
a. Using a = 0.02, does this sample provide enough evidence to conclude that the average house size of a new home in
the county has changed since 2014?
Determine the null and alternative hypotheses.
HoiH
H₁: H
(Type integers or decimals. Do not round.)
Transcribed Image Text:Suppose the average size of a new house built in a certain county in 2014 was 2,272 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,192, with a sample standard deviation of 227 square feet. Complete parts a and b. a. Using a = 0.02, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since 2014? Determine the null and alternative hypotheses. HoiH H₁: H (Type integers or decimals. Do not round.)
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