Question

How many whale sharks would a researcher need to measure so that 90% confidence level would have a margin of error of 0.25

Answer 1

About 1407 sharks would be needed to have a margin of error of 0.25

What is margin of error?

Margin of error is used to determine by what value there is deviation from the real value. Margin of error (E) is given by:

$E=Z_\frac{\alpha}{2} *\frac{standard\ deviation}{\sqrt{sample\ size} }$

The 90% confidence level have a z score of 1.645. Hence for E = 0.25, standard deviation = 5.7 feet, hence:

$0.25=1.645*\frac{5.7}{\sqrt{sample\ size}}\\ \\sample\ size=1407$

About 1407 sharks would be needed to have a margin of error of 0.25

Find out more on margin of error at: brainly.com/question/10218601