Question

In: Statistics and Probability

A sample of size 47 will be drawn from a population with mean 19 and standard...

A sample of size 47 will be drawn from a population with mean 19 and standard deviation 14. Find the probability that  will be greater than 22.

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Expert Solution

Solution :

Given that ,

mean = = 19

standard deviation = = 14

= / n = 14 / 47 = 2.0421

P( > 22) = 1 - P( < 22)

= 1 - P[( - ) / < (22 - 19) / 2.0421]

= 1 - P(z < 1.47)

= 1 - 0.9292

= 0.0708

Probability = 0.0708


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