b.) Determine the critical value(s)c.) Construct a 95% confidence intervald.) calculate the p-value During the 2007-2008 decline in the housing market, it appeared that the average size of a newly constructed house fell. To investigate this trend, the square footages of a random sample of houses built in 2008 were compared to houses built in 2018. A random sample of 55homes built in 2008 had a sample mean of 2,459.3 square feet and a sample standard deviation of 769.6 square feet. A random sample of 50 homes built in 2018 had a sample mean of 2,223.2 square feet and a sample standard deviation of 747.1 square feet. Assume that thepopulation variances for the square footages of houses built in these two years are equal. Complete parts a through d.a. Using α = 0.05, perform a hypothesis test to determine if the average home constructed in 2008 was larger than a home built in 2018.Identify the null and alternative hypotheses. Choose the correct answer below.OA. H₂H₁-H₂ = 0H₁ H₁-H₂ #0C. Ho:H₁-H₂50H₁ H₁-H₂>0Calculate the test statistic, tCt(Type an integer or decimal rounded to two decimal places as needed.)OB. Ho H₁-H₂ 20H₁ H₁-H₂ <0OD. Holl-H270H₁ H₁-H₂=0

Given that: House built in 2008: x¯1=2459.3n1=55s1=769.6 House built in 2018:…

Answered: b.) Determine the critical value(s)…

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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b.) Determine the critical value(s) c.) Construct a 95% confidence interval d.) calculate the p-value