Part A 1. [12 marks] A researcher is interested in estimating the average amount of sleep obtained by first-year students at MacEvvan University. The researcher obtains a random sample of 100 rst-year students from MacEwan from which she obtains an average of ?.1 hours ofsleep. a] Identify each ofthe following [4 marks-1 mark each] i] The population ii] The sample iii] The population parameter STAT 15] Assignment 4 Toiol: i 19 marks iv] The point estimate value h] Suppose the researcher obtains a 95% confidence interval of [6.9, '13]. What is the margin of error? [2 marks] c] It is recommended that young adults sleep at least ?.5 hours per night. Does the interval from [b] provide evidence that. on average, first-year students at MacEvvan 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]