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A study involving depression during the quarantine period of this health crisis is done on the...

A study involving depression during the quarantine period of this health crisis is done on the people in Turkey. The depression scores follow a continuous uniform distribution with the lowest stress score equal to 0 and the highest equal to 1. Using a sample of 48 people, find

a) the mean and standard deviation of the sample mean.

b) using central limit theorem, estimate the probability that the average depression score for 48 people is larger than 0.45.

Math   Statistics-And-Probability   
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