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Statistics Midterm - Part 2 of 2!
SAMPLE
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7. Sampling Distributions & Confidence Intervals: Mean / Sampling Distribution of the Sample Mean and Central Limit Theorem / Problem 16
Problem 16

The mean daily rainfall in a rainforest region is normally distributed with a mean of 18.2 mm18.2~\(\text{mm}\) and a standard deviation of 6.3 mm6.3~\(\text{mm}\). If a sample of 1010 days is randomly chosen, what is the probability that the sample mean rainfall is greater than 22.8 mm22.8~\(\text{mm}\)?