Question

In: Statistics and Probability

For all possible samples of 18 values taken from a population with a mean of −36.33...

For all possible samples of 18 values taken from a population with a mean of −36.33 and a standard deviation of 15.26

P(X(mean) > -33.38)=?

Solutions

Expert Solution

Solution :

Given that ,

mean = = -36.33

standard deviation = = 15.26

n = 18

= = -36.33

and

= / n = 15.26 / 18 = 3.5968

P( > -33.38) = 1 - P( < -33.38 )

= 1 - P(( - ) / < (-33.38 + 36.33) / 3.5968)

= 1 - P(z <0.820 )

= 1 - 0.7939

= 0.2061

Probability = 0.2061

orchestra answered 3 years ago
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