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13 August, 06:14

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)

A. 5.

B. 7.

C. 23.

D. 39

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  1. 13 August, 06:31
    0
    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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