You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=42.8σ=42.8. You would like to be 95% confident that your estimate is within 10 of the true population mean. How large of a sample size is required?[Do not round mid-calculation. However, use a critical value rounded to three decimal places — this is important for the system to check answers correctly.]

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