Suppose that, according to a recent census, the income per capita measured in U.S. dollars was $41,287 in Canada and $43,298 in Norway. Let’s assume that income per capita is Normally distributed with a standard deviation equal to 31% of the mean for each country. You select a random sample of six people in Norway and six people in Canada.

a) What is the probability that the mean income of your Canadian sample is above $43,298?

b) What is the probability that the mean income of your Norwegian sample is above $41,287?

c) What would be the effect of not assuming that the income per capita is Normally distributed?