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 22 homes built in 2013 had a mean area of 2618 square feet with a standard deviation of 204 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: mean = please provide number __?__ Ha mean > please provide number __?__ Test Statistic: __?__P-value: __?__
Added by Juan B.
Step 1
Ha: The mean area of homes built in 2013 is greater than the mean area of homes built in 2012. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Danielle Fairburn and 71 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
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 22 homes built in 2013 had a mean area of 2726 square feet with a standard deviation of 264 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 5% significance level. Round to the fourth decimal place. Test Statistic: P-value: Did something significant happen? Decision Rule: There is enough evidence to conclude
Areen D.
The U.S. Census Bureau reported that the average area of U.S. homes built in 2018 was 2,623. square feet. A simple random sample of 38 homes, had an average of 2,715 square feet, with a standard deviation of 249 square feet. Assume the population is approximately normally distributed. Test the claim that the average square feet of homes built in 2019 is more than 2018 by conducting a hypothesis test at the .01 significant level?
David N.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD