Canadian families In the 2011 census, Statistics Canada reported the following distribution for family size in Canada. Size Percent of Families 6 or more 2.9 5 5.4 4 14.3 3 15.6 2 34.1 1 27.6 Source: Extracted from: http://www.statcan. gc.ca/tables-tableaux/sum-som/l01/cst01/ famil53a-eng.htm

a) Find the mean and standard deviation of family size (treat “6 or more” as “6”).

b) If we select a random sample of 40 families, would you expect their sizes to follow a Normal model? Explain.

c) Consider the mean sizes of random samples of 40 families. Describe the sampling model for these means (shape, centre, and spread).