The temperature of a solution will be estimated by taking n independent readings and averaging them Each reading is unbiased, with a standard deviation of 0 5oC How many readings must be taken so that the probability is 0 90 that the average is within 0 1oC of the actual temperature

Question: The temperature of a solution will be estimated by taking n independent readings and averaging them. Each reading is unbiased, with a standard deviation of

The temperature of a solution will be estimated by taking n independent readings and averaging them. Each reading is unbiased, with a standard deviation of σ = 0.5oC. How many readings must be taken so that the probability is 0.90 that the average is within ±0.1oC of the actual temperature?

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