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Say the true mean of a population is 14 and you take a sample of 10...

Say the true mean of a population is 14 and you take a sample of 10 observations from the population and have a standard error of 1.5, what is the probability you will observe a sample mean of less than 13?

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Answer #1

Solution :

Given that ,

mean = = 14

standard deviation = = 1.5

= / n = 1.5 / 10 = 0.4743

P( < 13) = P(( - ) / < (13 - 14) / 0.4743)

= P(z < -2.11)

= 0.0174

Probability = 0.0174

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