The population of scores on the SAT forms a normal distribution with μ = 500 and σ = 100. If you take a random sample of n = 100 what is the probability that the sample mean will be greater than M = 520

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Mathematics

Juliette Green

15 September, 03:46

The population of scores on the SAT forms a normal distribution with μ = 500 and σ = 100. If you take a random sample of n = 100 what is the probability that the sample mean will be greater than M = 520

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Kai Ewing · Answer 1

P (M > 520) = 1 - P (M < 520) = 1 - P (z < (520 - 500) / (100/sqrt (100))) = 1 - P (z < (20 / (100/10))) = 1 - P (z < 20/10) = 1 - P (z < 2) = 1 - 0.97725 = 0.02275