For a population with mu = 30 and sigma = 8, find the X value that corresponds t

Question

For a population with mu = 30 and sigma = 8, find the X value that corresponds to z = + 2.00 [Round to the nearest hundredths place if a decimal. If your calculated value is not identical to one of the values below, but within plus or minus 0.99 of an answer below, assume it's a rounding error and select the answer that is closest to your calculated value, ] X = 14 X = 22 X = 32 X = 46 the correct value of X is not listed in alternatives "a" through "d", even when taking into consideration a rounding error of plus or minus 0.99. 0

Explanation / Answer

mean = 30 , s = 8 , z = 2

z = ( x - mean) / s
x = mean + z*s
= 30 + 2 * 8
= 46

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