Canadian Income per Capita. In 2008, the mean income per capita measured in US$ was $31639 in Canada and $40807 in Norway.
Let us assume that income per capita is Normally distributed with standard deviation equal to 31% of the mean for each country. You select a random sample of 6 people in Normally and 6people in Canada.
a) What is the probability that the mean income of your Canadian sample is above $40807?
b) What is the probability that the mean income of your Norwegian sample is above $31639?
c) What would be the effect of not assuming that the income per capita is normally distributed?