The U.S. Census Bureau reported that the mean area of U.S. homes built in 2012 was 2505 square feet. A simple random sample of 26 hornes built in 2013 had a mean area of 2711 square feet with a standard deviation of 212 feet. Can you conclude that the mean area of homes built in 2013 is greater than the mean area of homes built in 2012? It has been confirmed that home sizes follow a normal distribution. Use a 10% significance level. Round to the fourth Ho: Select an answerv Select an answerv HA: Select an answerv Select an answerv Test Statistic: P-value: Did something significant happen? Select an answer Select the Decision Rule: Select an answer There Select an answerv enough evidence to conclude Select an answer Question Help: Message instructor

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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The U.S. Census Bureau reported that the mean area of U.S. homes built in 2012 was 2505 square feet. A
simple random sample of 26 homes built in 2013 had a mean area of 2711 square feet with a standard
deviation of 212 feet. Can you conclude that the mean area of homes built in 2013 is greater than the
mean area of homes built in 2012? It has been confirmed that home sizes followa normal distribution. Use
a 10% significance level.
Round to the fourth
Hn: Select an answerv Select an answerv
Course
ons
HA: Select an answerv Select an answerv
Test Statistic:
P-value:
Did something significant happen? Select an answer
Select the Decision Rule: Select an answer
There Select an answerv enough evidence to conclude
Select an answer
Question Help: O Message instructor
Submit Question
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Transcribed Image Text:ents • Question 6 <> ons The U.S. Census Bureau reported that the mean area of U.S. homes built in 2012 was 2505 square feet. A simple random sample of 26 homes built in 2013 had a mean area of 2711 square feet with a standard deviation of 212 feet. Can you conclude that the mean area of homes built in 2013 is greater than the mean area of homes built in 2012? It has been confirmed that home sizes followa normal distribution. Use a 10% significance level. Round to the fourth Hn: Select an answerv Select an answerv Course ons HA: Select an answerv Select an answerv Test Statistic: P-value: Did something significant happen? Select an answer Select the Decision Rule: Select an answer There Select an answerv enough evidence to conclude Select an answer Question Help: O Message instructor Submit Question 用 hp Ce #3 9% & 3 4. 6. 7 8. W d. 0. O 2A %23 %24
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Solution:

Given information:

n= 26 Sample size μ= 2505 sqaure feet Population mean x=2711  sqaure feet Sample mean s= 212  sqaure feet Sample standard deviation α= 0.10 Level of significance 

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