Question: Please answer this question Problem 1: 20 points = [5 + 5 + 5 + 5] A group of n = 36 engineers was selected

Please answer this question

Problem 1: 20 points = [5 + 5 + 5 + 5] A group of n = 36 engineers was selected for the study of their IQ scores. Researchers assume that individual records are normally distributed with the population standard deviation 0' = 15. Sample based summaries were found as Sample Mean => X = 102 and Sample SD => 8 = 18. 1. Derive a 95% condence interval for the population mean (,u) 2. Show the critical value you use 3. Find the margin of error 4. Determine the width of this interval Solution

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