Question: Say that a random variable X is normally distributed with a population mean of 80 and a sample standard deviation of 10. a) For a

Say that a random variable X is normally distributed with a population mean of 80 and a sample standard deviation of 10.

a) For a sample of size 49, calculate the probability that the mean of the sample, is greater than 82. Show basic workings to support your answer.

b) For a sample of size 49, what is the value of the mean that has 2.5% of all values above it?

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