In: Statistics and Probability
Question 1
The following table contains summary statistics on house sales in Canberra (by region) for the last 3 months.
Region |
Mean House Price |
Number of houses sold |
Belconnen |
$755481 |
210 |
Gungahlin |
$815826 |
228 |
Inner North |
$1180106 |
75 |
Inner south |
$1489622 |
42 |
Molonglo Valley |
$948222 |
28 |
Woden Valley |
$1065248 |
95 |
Weston Creek |
$802488 |
60 |
Tuggeranong |
$723422 |
228 |
The lake in the Centre of Canberra in Lake Burley Griffin. The first 3 regions in the table above (that is, Belconnen, Gungahlin and inner north) are north of the lake. The remaining regions are south of the lake.
Native Canberrans are friendly loyal to their side of the lake (that is, whether you live north or south lake burley). Those born and raised in north Canberra, tend to buy houses and retire in North Canberra, and would never consider moving south of the lake.
So how do Calculate the sample mean of house prices in North and South Canberra compare on house prices? You are going to use the summary statistics in the table above to assess whether there is sufficient evidence of a difference in the mean house price between North and South Canberra.
Note, for this question you may assume that:
(Note: if your degree of freedom is greater than 120, you may obtain your critical Values from the standard normal distribution)