A credit score measures a person\'s creditworthiness. Assume the average credit

Question

A credit score measures a person's creditworthiness. Assume the average credit score for America 718. Assume the scores are normally distributed with a standard deviation of 50. 10. a) Determine the interval of credit scores that are one standard deviation around the mean b) Determine the interval of credit scores that are two standard deviations around the mean. c) Determine the interval of credit scores that are three standard deviations around the mean. a) The interval of credit scores that are one standard deviation around the mean ranges from to (Type integers or decimals. Use ascending order) b) The interval of credit scores that are two standard deviations around the mean ranges from to Type integers or decimais Use ascending order) c) The interval of credit scores that are three standard deviations around the mean ranges from to Type integers or decimals. Use ascending order)

Explanation / Answer

Mean,u = 718

Standard deviation,s = 50

(a) u - 1×s = 718 - 50 = 668

u + 1×s = 718 + 50 = 768

The interval of credit scores that are one standard deviation around the mean ranges from 668 to 768

(b) u - 2s = 618

u + 2s = 818

The interval of credit scores that are two standard deviations around the mean ranges from 618 to 818

(c) u - 3s = 568

u + 3s = 868

The interval of credit scores that are three standard deviations around the mean ranges from 568 to 868

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