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Suppose a population of FORMER high school graduates in Wisconsin is normally distributed with a mean...

Suppose a population of FORMER high school graduates in Wisconsin is normally distributed with a mean age of 24 years and a standard deviation is 1.25 years. Consider a sample size of 100 high school graduates. Find the probability that the sample mean age of these students greater than 24.3 years.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 24

standard deviation = = 1.25

n = 100

= 24

= / n =1.25 / 100 = 0.125

P( >24.3 ) = 1 - P( < 24.3)

= 1 - P[( - ) / < (24.3-24) /0.125 ]

= 1 - P(z <2.4 )

Using z table

= 1 - 0.9918

probability= 0.0082

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