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It is assumed that the first exam scores in undergraduate course are (approximately) normal with the unknown mean population. A sample of randomly selected first exam scores of 16 students was analyzed. The sample mean score was found to be a? = 68.6. Find a 0.95 confidence interval for the population mean knowing that the population standard deviation is provided as 0:8. a) [2 points] What is represented by the random variable x in this problem? b) [5 points] What is the critical value for this problem? c) [8 points] What is the margin of error value here? d) [ 3 points] Find a 0.95 confidence interval for the population mean u. e) [2 points] Explain what the 0.95 confidence interval tells us in this