1. The ages of all Conestoga students follow a normal distribution with mean of 26 years and standard deviation of 5.5 years. a) Find the probability that a randomly chosen Conestoga student is younger than 22 years of age. b) Find the age, x, such that only 19% of the students are older than x. c) Find the probability that a randomly chosen sample of 36 Conestoga students has a mean age between 23 and 28.

2. A sociologist believed that the average family size in Saskatchewan was larger than the average family size in British Columbia. Random samples from the two provinces yielded the following results: