1. {12 marks] A researcher is interested in estimating the average amount of sleep obtained by rstyear students at MacEwan University. The researcher obtains a random sample of l rstyear students from MacEwan from which she obtains an average of 2.1 hours of sleep. a] Identify each ofthe following {-41- marksl mark each] i] The population ii] The sample iii] The population parameter STAT 151 Assignment 4 To'rol: H9 morks iv] The point estimate value b] Suppose the researcher obtains a 95% condence interval of {5.9, 2.3]. 1What is the margin of error? [2 marks] c] [t is recommended that young adults sleep at least 2.5 hours per night. Does the interval from [b] provide evidence that, on average. first-year students at MacEwan are under sleeping? Explain {2 marks] [1] [sit 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]