Q245 · Practice questionTechnology-freeSimple familiar1 mark
QUESTION 245
A mean confidence interval uses fixed confidence and the same standard deviation estimate. If n changes to 4n, what happens to full width?
(A)
It is halved.
(B)
It is quartered.
(C)
It is unchanged.
(D)
It is doubled.
WORKED SOLUTION
1 markAnswer A
ANSWER
A. It is halved.
Worked solution
Full width is . Quadrupling n doubles the denominator, so width halves. The square-root dependence distinguishes A from B.
Equivalent mathematically justified methods accepted.
Exact answers unless a decimal accuracy is specified.
Select A.
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