Question
In: Statistics and Probability
For a normal population with a mean of u=80 and a standard deviation of o=10, what...
For a normal population with a mean of u=80 and a standard deviation of o=10, what is the probability of obtaining a sample mean less than M=81 for a sample of n=25 scores? Express your answer as a percentage (rounded to two decimal places)
Solutions
Expert Solution
Solution:
Given, the Normal distribution with,
= 80
= 10
Sample of 25 is taken.
n= 25
Let
be the sample mean.we know the distribution of
is normal with
Mean()
=
= 80
SD()
=
= 10/
25
= 2.00 (It is called as the standard error of the mean)
P(
< 81) =
= 
= P(Z < 0.50)
P(
< 81) = 0.6915 .....use z table.
In percentage , P(
< 81) = 69.15%
orchestra answered 2 years agoRelated Solutions
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