The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n=64, find the probability of a sample mean being less than 24.5 if mμ=25 and σ=1.31
Given that ,
mean = = 25
standard deviation = = 1.31
n = 64
= 25
= / n = 1.31/ 64=0.16
P( < 24.5) = P[( - ) / < (24.5-25) / 0.16]
= P(z <-3.13 )
Using z table
probability = 0.0009
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