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

Question

Mathematics

Miller

16 November, 15:03

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

+1

Answers (1)

Know the Answer?

Bryan Mercer · 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