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 rst-year 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% confidence interval of (6.3, 6.9). What is the margin of error? (2 marks) c) It is recommended that young adults sleep at least 7 hours per night. Does the interval from (b) provide evidence that, on average, first-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) Briefly explain why the interval estimate from (b) is superior to the point estimate from (a). (2 marks)