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
.