Activity 2Solutions
1. A random sample of size n = 30 is taken from a population with mean
μ
and standard
deviation
σ
. Which statement is generally correct? (4 pts)
a.
X
is an estimate of
μ
;
s
is an estimate of
σ
.
b.
μ
is an estimate of
X
;
σ
is an estimate of
s
.
c.
μ
is an estimate of
X
;
s
is an estimate of the standard deviation of the sample
mean.
d.
X
is an estimate of
μ
;
s
is an estimate of the standard deviation of
the sample
mean.
e.
X
is an estimate of
μ
;
s
is the standard error of the sample mean.
2. Suppose we draw a random sample from a population which is
normally distributed
with
mean 20 and s.d. 5. Assuming the sample points are drawn independently, which of the values
can the sample size be equal to, so that the sample mean follows a normal distribution? ( 4 pts)
3.
As the sample size increases, the standard error of the sample mean ____________(select the
best response): ( 4 pts)
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 Fall '08
 STAFF
 Normal Distribution, Standard Deviation, Variance, σ. b. μ, s. c. μ

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