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a researcher wants to make a 99% confidence interval for a population mean. she wants the margin of error to be within 4.7 of the population mean. the population standard deviation is 18.60. the sample size that will yield a margin of error within 4.7 of the population mean is



Answer :

The sample size that will yield a margin of error within 4.7 of the population mean is 104.

A standard deviation (or σ) is a measure of how dispersed the facts is in terms of the suggestion. Low popular deviation method records are clustered around the imply, and excessive well-known deviation shows statistics are more spread out.

The same old deviation is a degree of the quantity of variant or dispersion of a hard and fast of values. A low fashionable deviation indicates that the values tend to be near the mean of the set, whilst a high general deviation indicates that the values unfold out over a much broader variety.

Calculation:-

z = 2.576

σ = 18.22

E = z* (σ / √n )= 4.7

4.7 =  2.576 × ( 18.22 / √n )

√n =   2.576 × ( 18.22 / 4.7 )

√n = 10.2032

n = 104.105

n ≅ 104

Learn more about standard deviation here:-https://brainly.com/question/28561334

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