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
