res are normally distributed with mean H-1518 and 5. Assuming that SAT sco stand

Question

res are normally distributed with mean H-1518 and 5. Assuming that SAT sco standard deviation ?325. a. If one SAT score is randomly selected, find the probability that it is between 1550 and 1575 b. If 25 SAT scores are randomly selected (n-25), find the probability that, they have a mean between 1550 and 1575 Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 4.8 a. If one ACT score is randomly selected, find the probability that it is greater than 20. b. If 49 ACT scores are randomly selected (n-49), find the probability that they have a mean greater than 20.

Explanation / Answer

a) Mean = 1518

SD = 325

z1 = (1550 - 1518)/325

z1 = 0.098

z2 = (1575 - 1518)/325

z2 = 0.175

P = 0.0277

b)

z1 = (1550 - 1518)/325/?25

z1 = 0.49

z2 = (1575 - 1518)/325/?25

z2 = 0.875

P = 0.1226

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