At the Statistics Canada Web site, www.statcan.gc.ca, you can find the percent of adults in each province or territory who have at least a university certificate, diploma, or degree at bachelor’s level or above.
It makes no sense to find x for these data and use it to get a confidence interval for the mean percent μ in all 13 provinces or territories. Why not?
a.Because we have the percentages for all 13 Canadian provinces, we b.know the exact value of μ. This assumes that the percentages listed at the Web site are not estimates (though they probably are).
c.Because the provinces/territories were not chosen randomly.
d.Because the data are categorical and not quantitative.
e.Because the mean is meaningless unless we standardize the values first.