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How to find the probability for the sample mean under the Normal distribution.

The diameters of oranges in a definite orchard are usually distributed with a mean of 5.26 inches and a standard deviation of 0.50 inches.
An arbitrary sample of 100 oranges is gathered and the mean diameter obtained was 5.12. If another sample of 100 is taken then what is the probability that its sample mean will be greater than 5.12 inches?

Statistics and Probability, Statistics

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