A3 For n observations 1 n-1 (i) (ii) (iv) n- n- 1 n i=1 n i=1 n ₁, 2,..., In the sample mean is. Consider the following statistics: n - 1 i=1 x² + (x₁ - x)² n (Xi - x)² n n-1 Which of these statistics equal the sample variance? A: (i), (ii), and (iv) B: (i) and (iii) C: (i) and (iv) E: (ii) and (iv) D: (ii), (iii), and (iv)

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A3 For n observations x₁, x2,...,n the sample mean is. Consider the following statistics:
n - 1
(₁)
(iv)
n
1
n - 1
n
1
n
n
1
n - 1
WW
i=1
(x₁ - x)²
n
+
i=1
n
(ix)2
N
n-
1
,,2
I
Which of these statistics equal the sample variance?
A: (i), (ii), and (iv)
B: (i) and (iii) C: (i) and (iv)
E: (ii) and (iv)
D: (ii), (iii), and (iv)
Transcribed Image Text:A3 For n observations x₁, x2,...,n the sample mean is. Consider the following statistics: n - 1 (₁) (iv) n 1 n - 1 n 1 n n 1 n - 1 WW i=1 (x₁ - x)² n + i=1 n (ix)2 N n- 1 ,,2 I Which of these statistics equal the sample variance? A: (i), (ii), and (iv) B: (i) and (iii) C: (i) and (iv) E: (ii) and (iv) D: (ii), (iii), and (iv)
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