The mean area of homes in a certain city built in 2009 was 2438
square feet. Assume that a simple random sample of 11 homes in the
same city built in 2010 had a mean area of 2310 square feet, with a
standard deviation of 225 square feet. An insurance company wants
to know if the mean area of homes built in 2010 is less than that
of homes built in 2009. Compute the P-value of the
test.
Write down your P-value. You will need it for the next
question.
Write only a number as your answer. Round to four decimal places
(for example: 0.3841).
To Test :-
H0 :- µ = 2438
H1 :- µ < 2438
Test Statistic :-
t = ( X̅ - µ ) / (S / √(n) )
t = ( 2310 - 2438 ) / ( 225 / √(11) )
t = -1.8868
P - value = P ( t > 1.8868 ) = 0.0443 ( From t table )
The mean area of homes in a certain city built in 2009 was 2438 square feet....