madisongibson927
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A random sample of 500 army recruits has a mean height of 68 inches with
a standard deviation of 2.5 inches. If a 95% confidence interval is
constructed, with all the conditions having been met, what is the margin of
error?
O 0.22
6.02
184
68

Respuesta :

Answer:

The margin of error is 0.22

Step-by-step explanation:

Mathematically, the margin of error at the given confidence interval can be calculated using the formula below;

Margin of error = [tex]t_{0.05/2}[/tex] × s/√n

where is the t-value at the given confidence interval, s is the standard deviation and n is the sample size

[tex]t_{0.05/2}[/tex] = 1.96 (From t-distribution table)

s = 2.5 inches

n = 500

MOE = 1.96 × 2.5/[tex]\sqrt{500}[/tex]

MOE = 1.96 × 2.5/22.36

MOE = 0.22

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