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

Transcribed Image Text: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 55
homes 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 the
population 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 = 0
H₁ H₁-H₂ #0
C. Ho:H₁-H₂50
H₁ H₁-H₂>0
Calculate the test statistic, t
C
t
(Type an integer or decimal rounded to two decimal places as needed.)
OB. Ho H₁-H₂ 20
H₁ H₁-H₂ <0
OD. Holl-H270
H₁ H₁-H₂=0
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