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1. (12 marks) A researcher is interested in estimating the average amount of sleep obtained by first-year students at MacEwan University. The researcher obtains a random sample of 100 first-year students from MacEwan from which she obtains an average of 7.1 hours of sleep. a] Identify each of the following [4 marks-1 mark each] i) The population ii) The sample iii) The population parameter STAT 151 Assignment 4 Total: 119 marks wv) The point estimate value b) Suppose the researcher obtains a 95% confidence interval of (6.9, 7.3). What is the margin of error? (2 marks] c) It is recommended that young adults sleep at least 7.5 hours per night. Does the interval from (b) provide evidence that, on average, first-year students at MacEwan are under sleeping7 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)