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The hemoglobin {gfdl} levels are recorded for a random sample of adult males belonging to a certain ethnic group. The results are: 15.4 13.9I 15.1 14.3 14.4 14.8 15.0 13.9 15.4 14.6 14.3 Let the mean and variance for the adult male population of this ethnic group be ,u and a: respectively. i. Obtain unbiased estimates of Jun and a": . 1]. Determine a 95% condence interval for oi. ii]. Obtain a 95% condence interval for ,u'. iv. Assuming that this sample has been drawn from the normal population, test at 5% level of significance whether the mean hemoglobin level is equal to 14.5 gfdl. [4+4+4+5 = 17 marks]