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Question 2 (18 points) (18 points) The following sample data are from a normal population: 10, 18, 12, 15, 13, 11, 8, 20, and 14, Develop a 90% confidence interval estimate of the population mean. Show your steps and manual (hand and calculator) calculations in 4 decimal points
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SOLUTION 10 18 12 15 13 3.44 4.56 1.44 1.56 0.44 2.44 5.44 6.56 0.56 11.8336 20.7936 2.0736 2.4336 0.1936 5.9536 29.5936 43.0336 0.3136 20 14 x=41 (x - x)2-116.2224 121 Mean (x) =-=-= 13.44 Σ(x-i)- |116.2224 9-1- 3.812 Standard deviation (s) - given: n - 9,c0.90 degrees of freedom (df)-n-1-9-18 formula: t ta for 90% confidence level with degrees of freedom = 8 ta 1.860 (from t - table)

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