l. A researcher is interested in estimating the average amount of sleep obtained by rst- year students at MacEwan University. The researcher obtains a random sample of 50 rstyear students from MacEwan from which she obtains an average of 6.6 hours of sleep. a] Identify each of the following [5 marks-1 mark each] i] The population ii] The sample iii] The population parameter iv] The estimator of the population parameter v] The point estimate value b] Suppose the researcher obtains a 95% condence interval of (6.3. 6.9]. What is the margin of error? [2 marks] c] It is recummended that young adults sleep at least 7 hours per night. Does the interval from (b) provide evidence that, on average, rst-year students at MacEwan are under sleeping? Explain [2 marks] d] Is it necessary for the population of interest to be normally distributed for the interval in [b] to be valid? Explain. [2 marks] e] Briey explain why the interval estimate from [b] is superior to the point estimate from [a]. [2 marks}