Question

Suppose a set of data is normally distributed and has the following: μ=205, σ=15.7 What is...

Suppose a set of data is normally distributed and has the following:

μ=205, σ=15.7

What is the probability of randomly selecting a sample of 110 and getting a sample mean less than 200?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

mean = = 205

standard deviation = = 15.7

n = 110

= 205

=  / n = 15.7/ 110=1.497

P( <200 ) = P[( - ) / < (200-205) / 1.497]

= P(z <-3.34 )

Using z table  

= 0.0004   

probability= 0.0004

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