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A random sample of n =100 is selected from a normal population with mean μ =...

A random sample of n =100 is selected from a normal population with mean μ = 24 and standard deviation σ = 1.25.

Find the probability that  is less than 24.3

Solutions

Expert Solution

Solution :

Given that,

mean = = 24

standard deviation = = 1.25

n = 100

= 24

=  / n = 1.25/ 100=0.125

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

= P(z <2.4 )

Using z table  

= 0.9918   

probability= 0.9918

orchestra answered 2 years ago
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