Homework Answers
Solution:
n = Number of Data Values = 5
Sum of Data Values = Σxᵢ = 31
Standard Deviation s = √Σ(xi - μ)^2/N
= √10.8/5 = 1.469
-----------------------------------------------------------------
The SD for the box is 4.77
Mean μ = Σxᵢ / N = 40 / 5 = 8
Suppose 25 draws are made at random with replacement from the
box.
Expected value for this sum is = n * average of the box
= 25 * 8 = 200
Standard Error for this sum is = √n * SD of the box
= √25 * 4.77
= 23.85
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