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Question 9 - Week 5 Practice | Prasnya
Q9
00:00
6 Apr 2026
Q9.
Which of the following statements is/are correct?
@passage
A
The variance of the sample mean
X
ˉ
n
\bar{X}_n
X
ˉ
n
should be
σ
2
\sigma^2
σ
2
and does not depend on
n
n
n
.
B
The sample mean
X
ˉ
n
\bar{X}_n
X
ˉ
n
is a random variable whose value depends on the particular sampling instance.
C
As
n
n
n
increases, the variance of the sample mean decreases, causing the values of
X
ˉ
n
\bar{X}_n
X
ˉ
n
to cluster closer to
μ
\mu
μ
.
D
The mean
μ
=
E
[
X
i
]
\mu=E[X_i]
μ
=
E
[
X
i
]
is a constant real number and is not a random variable.
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Q9
00:00
6 Apr 2026
Q9.
Which of the following statements is/are correct?
@passage
A
The variance of the sample mean
X
ˉ
n
\bar{X}_n
X
ˉ
n
should be
σ
2
\sigma^2
σ
2
and does not depend on
n
n
n
.
B
The sample mean
X
ˉ
n
\bar{X}_n
X
ˉ
n
is a random variable whose value depends on the particular sampling instance.
C
As
n
n
n
increases, the variance of the sample mean decreases, causing the values of
X
ˉ
n
\bar{X}_n
X
ˉ
n
to cluster closer to
μ
\mu
μ
.
D
The mean
μ
=
E
[
X
i
]
\mu=E[X_i]
μ
=
E
[
X
i
]
is a constant real number and is not a random variable.
Save
Read
Check
Details
