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.

Solutions

Expert Solution

Solution :

Given that,

mean = = 19

standard deviation = =14

= =19

= / n = 14/ 47 = 2.04

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

= 1 - P[( - ) / < (22-19) /2.04 ]

= 1 - P(z <1.47 )

Using z table

= 1 - 0.9292

= 0.0708

probability= 0.0708


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