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the population standard deviation for the height of college hockey players is 3.2 inches. if we want to estimate 95% confidence interval for the population mean height of these players with a 0.55 margin of error, how many randomly selected players must be surveyed?

Respuesta :

Given,

Population Standard deviation = 3.2 inches

Required confidence interval (C) =  95%

Margin of error = 0.55

Let h be the number of randomly selected players surveyed.

∝ = 1 - C = 1 - 0.95 = 0.05

∝/2 = 1 - C / 2 = 0.05/2 = 0.025

Score of ∝/2 = 2.5 - 0.025 = 2.475

We know,

Margin  of error = 0.55

Standard deviation = 3.2

∵ 0.55 = 2.475 x 3.2/ √h

√h = √0.144/1000

∴ h = 12

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