3. A researcher claims that the average yearly consumption of bottled water in Canada is equal to 27 L per capita with a standard deviation of 2.5 L. In a sample of 50 randomly selected Canadians, the mean yearly consumption of bottled water was 27.8 L per capita. At = 0.05, test the claim to see if the true average is different from 27 L.

(a) Hypothesis Test (Four steps)

(b) Construct a 95% confidence interval for the average yearly consumption of bottled water in Canada

4. A provincial minister claims the area of BCs provincial parks follows a normal distribution with average 137.6km2. An environmental group believes that the actual area is less than the reported figure. The group selects a random sample of 9 provincial parks which had an average of 109.11km2 and standard deviation of 88.99km2. At =0.05, is there enough evidence to reject the provincial ministers claim?

(a) Hypothesis Test (Four steps)

(b) Construct a 95% confidence interval for the average area of BCs provincial parks