Question

True or False: When the length of a confidence interval is 3 for inference concerning a mean, the required sample size is4

Answer 1

If the length of a confidence interval is 3 for inference concerning a mean, the required sample size is $(z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2$

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

σ = standard deviation, n = sample  size, the margin of error (E) is given by:

$E=z_\frac{\alpha }{2}*\frac{\sigma}{\sqrt{n} } \\\\E=3, hence:\\\\3=z_\frac{\alpha }{2}*\frac{\sigma}{\sqrt{n} } \\\\n=(z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2$

If the length of a confidence interval is 3 for inference concerning a mean, the required sample size is $(z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2$

Find out more on equation at: brainly.com/question/2972832

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