Question: Suppose a class has n students. On a given day, assume that if the ith student is asked What is the temperature today, her response

Suppose a class has n students. On a given day, assume that if the ith student is asked "What

is the temperature today", her response is drawn from a Gaussian (Normal) distribution whose

mean is the actual temperature, and variance is sigma i square(and her guess is independent from those

of the other students).

If i = 1 for all i, how accurate will the average of the n guesses be?

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