Solution :
Given that ,
= 17.4
= 2.4
A sample of size n = 1 is taken from this population.
Let
be the mean of sample.
The sampling distribution of the
is approximately normal with
Mean
=
= 17.4
SD
=
= 2.4/
1 =
2.4
Find P(
< 15.7 )
= P[(
-
)/
< (15.7 - 17.4)/2.4]
= P[Z < -0.708]
= 0.2395 ........ using z-table
P(
< 15.7 ) = 0.2395
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