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17-01-2017
Mathematics

Answered

If I wanted the margin of error for the 95% confidence interval to be 1 inch, I should select a simple random sample of size: (assume the population standard deviation = 2.415)

A5.
B7.
C23.
D39

Verified Answer :

MissPhiladelphia MissPhiladelphia

24-01-2017

We are given with
Confidence interval of 95%. This corresponds to a Z value of 1.96
Margin of error, d = 1 inch
Population standard deviation, σ = 2.415 inch

We can calculate for the sample size using the formula
n = Z² σ² / d²
Substituting,
n = 1.96² (2.415)² / 1²
n = 22.4 ~ 23

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