A social researcher has constructed a measure of racial prejudice and obtained a distribution of scores on this measure from a randomly selected sample of public office holders. the scores were normally distributed with a mean of 45 and a standard deviation of 7. what is the approximate probability that a randomly selected case from the sample will have a score less than 38?

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Business

Fernanda Banks

10 October, 20:20

A social researcher has constructed a measure of racial prejudice and obtained a distribution of scores on this measure from a randomly selected sample of public office holders. the scores were normally distributed with a mean of 45 and a standard deviation of 7. what is the approximate probability that a randomly selected case from the sample will have a score less than 38?

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Lana Ponce · Answer 1

To answer the problem mentioned above, below is the detailed solution:

z (38) = (38-45) / 7]

-7/7 = - 1

Z = - 1

P (x < 38) = P (z < - 1) = normalcdf

(-100,-1) = 0.1587

Therefore probability that a randomly selected case from the sample will have a score less than 38 is 0.1587