you have a normal population of scores with u=60 and o=10. we obtained a random sample of n=40. what is the probability that the sample mean will be less than 54?
Solution :
Given that ,
mean = = 60
standard deviation = = 10
n = 40
= 60
= / n = 10 / 40=1.58
P( < 54) = P[( - ) / < (54-60) /1.58 ]
= P(z <-3.80 )
Using z table
probability= 0.0001
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