A researcher wants to test a claim that the average home sale price in U.S is less than .
The claim can be written as , which is alternate hypothesis.
is null hypothesis.
The standard deviation is .
Number of homes is .
and
.
The value of is
, since
, the
-statistic is used.
- Score formula is
.
where is scale price of the sample,
is the mean and
is the standard deviation.
To calculate the value of , first calculate the value of
.
Now find the value of .
\
This is a left tailed test, since .
From the Table : Areas under the standard normal curve ,the area associated with
is about
.
The -value
is less than
.
Therefore the null hypothesis is rejected and there is significant evidence that the average
\home price is less than .
Therefore the null hypothesis is rejected and there is significant evidence that the average
\home price is less than .