Answer to Question #342356 in Statistics and Probability for ffff

Question #342356

Given: Margin of error (d)= 2.19, Confidence interval (CI) of population mean = 90%, and population standard deviation (σ)= 5 solve for the appropriate sample size.

1
Expert's answer
2022-05-19T18:10:56-0400

The critical value for α=0.1\alpha = 0.1 is zc=z1α/2=1.6449z_c = z_{1-\alpha/2} = 1.6449


d=zc×σnd=z_c\times\dfrac{\sigma}{\sqrt{n}}

n=(zc×σd)2n=(\dfrac{z_c\times \sigma}{d})^2

n=(1.6449×52.19)2n=(\dfrac{1.6449\times 5}{2.19})^2

n=14n=14


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