a) A given distribution has a population mean, μ, of 106 and a population standard deviation, σ, of 8.  What z-score would be associated with the value x = 140? b) A given distribution has a population mean, μ, of 138 and a population standard deviation, σ, of 11.  What z-score would be associated with the value x = 98? c) A given distribution has a population mean, μ, of 143 and a population standard deviation, σ, of 5.  Compute the raw, x-value associated with a Z-score of -2.02.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 2E: Use theorem 5.4.2 to form a proportion in which SV is a geometric mean. Hint: SVTRVS Exercises 1-6
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a) A given distribution has a population mean, μ, of 106 and a population standard deviation, σ, of 8.  What z-score would be associated with the value x = 140?

b) A given distribution has a population mean, μ, of 138 and a population standard deviation, σ, of 11.  What z-score would be associated with the value x = 98?

c) A given distribution has a population mean, μ, of 143 and a population standard deviation, σ, of 5.  Compute the raw, x-value associated with a Z-score of -2.02.

d) A given distribution has a population mean, μ, of 110 and a population standard deviation, σ, of 11.  Compute the raw, x-value associated with a Z-score of 1.12.

e) Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 88 and 130?

f) Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 88 and 116?

g) Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 102 and 130?

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