Question 1 :

Following political pressure from residents of the Canterbury Borough, funding is now available to install a noise barrier. Different approaches can be taken to install the barrier. The choice of the approach is important because it can lead to different proportions of gaps in the barrier. Previous studies have shown a link between the percentage of area occupied by gaps and the reduction in noise level. Using the data provided with the question, a) please confirm if such a relationship exists. In case of a significant relationship, b) what is the decrease in decibels if we have a percentage of gaps of five percent?

a) A justification of the statistical test you selected

b) The statistical hypotheses (H₀ and H_a)

c) The calculations and the results of the statistical test

d) Your interpretation of the results of the statistical test.

Question 2 :

The price of housing on the Island of Montreal changes on a yearly basis. Your supervisor would like an update on the situation and has asked you to provide him with a comparison of the current mean price of condominiums. The prices provided with the question are from condominiums selected randomly in four boroughs.

a) A justification of the statistical test you selected

b) The statistical hypotheses (H₀ and H_a)

c) The calculations and the results of the statistical test

d) Your interpretation of the results of the statistical test.