A sample of size 65 will be drawn from a population with mean 22 and standard...

Question

Question

A sample of size 65 will be drawn from a population with mean 22 and standard deviation 15. Find the probability that will be between 20 and 25.

math Statistics-And-Probability

Answer 1

Answer #1

Answer:

Given,

Mean =22

Standard deviation =15

Sample size n = 65

Probability that x will be between 20 and 25

P ( 20 < X < 25 )

Z = X - mean /sd

P ( 20-22)/(15/sqrt(65)) < Z < 25-22)/(15/sqrt(65) )

P ( -1.0749 < Z < 1.6124 )

= 0.9463 - 0.1423

= 0.8040

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Answer 2

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