During an economic​ crisis, the average value of homes in a community of 36 homes lost ​$9284 with a standard deviation of $1450. The average home value in the region lost ​$8790. Was this community of 36 homes​ unusual? Use a​ t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test.   H0: μ ▼   less than< greater than> equals= not equals≠ nothing HA: μ ▼   less than< not equals≠ greater than> equals= nothing The test statistic is nothing. ​(Round to two decimal places as​ needed.) The​ P-value is nothing. ​(Round to three decimal places as​ needed.) What is the conclusion of the​ test? Was the average loss observed significantly different from the region​ value?   ▼   Fail to reject Reject the null hypothesis because the​ P-value is ▼   greater less than the given significance​ level, and conclude that the loss of home values in this community ▼   does does not appear to be unusual.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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During an economic​ crisis, the average value of homes in a community of
36
homes lost
​$9284
with a standard deviation of
$1450.
The average home value in the region lost
​$8790.
Was this community of
36
homes​ unusual? Use a​ t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance
α=0.05.
Identify the hypotheses for the test.
 
H0:
μ
 
less than<
greater than>
equals=
not equals≠
nothing
HA:
μ
 
less than<
not equals≠
greater than>
equals=
nothing
The test statistic is
nothing.
​(Round to two decimal places as​ needed.)
The​ P-value is
nothing.
​(Round to three decimal places as​ needed.)
What is the conclusion of the​ test? Was the average loss observed significantly different from the region​ value?
 
 
Fail to reject
Reject
the null hypothesis because the​ P-value is
 
greater
less
than the given significance​ level, and conclude that the loss of home values in this community
 
does
does not
appear to be unusual.
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