Working backwards, Part 1: A 95% confidence interval for a population mean, u, is given as (18.985, 21.015). This confidence interval is based on a simple random sample of 36 observations. Calculate the sample mean, the margin of error, and the sample standard deviation. Assume that all conditions necessary for inference are satisfied. Use the t-distribution in any calculations. Round your answers to 3 decimal places. Sample Mean: 20 Margin of Error: 1.015 Standard Deviation: 0.5076

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