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Nicholas likes to play the game Go. The time for Nicholas to place a stone follows Exponential Distribution with standard deviation 30 seconds. Nicholas collects

Nicholas likes to play the game Go. The time for Nicholas to place a stone follows Exponential Distribution with standard deviation 30 seconds. Nicholas collects a random sample of 50 of the stones placed by himself. Suppose the average time for Nicholas to place a stone on the vacant intersections of a board is 40 seconds. Find the 97% confidence interval for mean time that Nicholas places a stone on the vacant intersections of a board.

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