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Suppose the average size of a new house built in a certain county in 2014 was 2,270 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,191​, with a sample standard deviation of 223 square feet. Complete parts a and b. Using α=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.

Suppose the average size of a new house built in a certain county in 2014 was 2,270 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,191​, with a sample standard deviation of 223 square feet. Complete parts a and b. Using α=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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose the average size of a new house built in a certain county in 2014 was 2,270 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,191​, with a sample standard deviation of 223 square feet. Complete parts a and b.

Using α=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.

Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) OA. -ta = B. ta/2= C. ta Calculate the appropriate test statistic. (Round to two decimal places as needed.) State the conclusion. Ho. There since 2014. b. Determine the precise p-value for this test using Excel. The p-value is (Round to three decimal places as needed.) State the conclusion. stayed the same increased changed decreased sufficient evidence to conclude that the average house size of a new home in the county has sufficient evidence to conclude that the average house size of a new home in the county has -value for this test using Excel. aces as needed.) er(s). Ho. There since 2014.
Transcribed Image Text:Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) OA. -ta = B. ta/2= C. ta Calculate the appropriate test statistic. (Round to two decimal places as needed.) State the conclusion. Ho. There since 2014. b. Determine the precise p-value for this test using Excel. The p-value is (Round to three decimal places as needed.) State the conclusion. stayed the same increased changed decreased sufficient evidence to conclude that the average house size of a new home in the county has sufficient evidence to conclude that the average house size of a new home in the county has -value for this test using Excel. aces as needed.) er(s). Ho. There since 2014.
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