Arrange the following pairs of standard deviation (σ) and total number of…
2026
Arrange the following pairs of standard deviation (σ) and total number of samples (n) pertaining to different sampling distributions in the decreasing order of their standard error.
A. σ = 1.6 , n = 16
B. σ = 1.5 , n = 25
C. σ = 0.6 , n = 36
D. σ = 1.4 , n = 49
- A.
A, B, C, D
- B.
A, B, D, C
- C.
D, C, B, A
- D.
C, B, D, A
Attempted by 12 students.
Show answer & explanation
Correct answer: B
The standard error (SE) is calculated using the formula SE = σ / √n.
Calculate SE for each option:
A: SE = 1.6 / √16 = 1.6 / 4 = 0.4
B: SE = 1.5 / √25 = 1.5 / 5 = 0.3
C: SE = 0.6 / √36 = 0.6 / 6 = 0.1
D: SE = 1.4 / √49 = 1.4 / 7 ≈ 0.2
Comparing the values: 0.4 > 0.3 > 0.2 > 0.1.
Thus, the decreasing order is A > B > D > C.