For each of the following questions;

• Is there a significant difference in median value of houses bounded by the Charles river or not? (T-test for independent samples)

• Is there a difference in Median values of houses (MEDV) for each proportion of owner occupied units built prior to 1940 (AGE)? (ANOVA)

• Can we conclude that there is no relationship between Nitric oxide concentrations and proportion of non-retail business acres per town? (Pearson Correlation)

• What is the impact of an additional weighted distance to the five Boston employment centres on the median value of owner occupied homes? (Regression analysis)

Be sure to:

1. State your hypothesis.

2. Use α = 0.05

3. Perform the test Statistics.

4. State the conclusion from the test.