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Given a distribution that has a mean of 40 and a standard deviation of 13, calculate...

Given a distribution that has a mean of 40 and a standard deviation of 13, calculate the probability that a sample of 49 has a sample mean that is no more than 35  

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Expert Solution

Solution :

Given that ,

mean =   = 40

standard deviation = = 13

n = 49

= 40

=  / n = 13/ 49=1.8571

P( <35 ) = P[( - ) / < (35-40) /1.8571 ]

= P(z < -2.69)

Using z table  

= 0.0036   

probability=  0.0036

orchestra answered 2 years ago
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