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Consider as the mean of a random sample of 60 elements drawn from a population with mean of 115 with a standard deviation of 39

Consider as the mean of a random sample of 60 elements drawn from a population with mean of 115 with a standard deviation of 39 Please calculate in excel showing steps
Calculate the following elements:
a) Mean and Standard Deviation of
b) Find the probability that assumes a value between 112 and 117
c) Find the probability that assumes a value greater than 116
Hint: Remember that for sample over 30 according to the Central Limit Theorem the sample is approximately normally distributed (Z)
Hint: To calculate the std. Deviation we are considering infinite population

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