Consider a population of 200 with a mean of 60 and a standard deviation equal to 21. What is the probability of obtaining a sample mean of 63 or less from a sample of 35?
Solution :
Given that ,
mean = = 60
standard deviation = =21
n = 35
= = 60
= / n = 21 / 35 = 3.55
P( < 63 ) = P(( - ) / < (63 - 60) / 3.55 )
= P(z < 0.85 )
Using z table
= 0.8023
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