Step 1 :Given values are: confidence level (c) = 0.95, standard deviation (σ) = 3.2, and sample size (n) = 64.
Step 2 :From the table of common critical values, the critical value (zc) for a 95% confidence level is 1.96.
Step 3 :The formula to calculate the margin of error (E) is: \(E = zc \times \frac{σ}{\sqrt{n}}\)
Step 4 :Substitute the given values into the formula: \(E = 1.96 \times \frac{3.2}{\sqrt{64}}\)
Step 5 :Simplify the expression to find the margin of error (E): \(E = 0.784\)
Step 6 :\(\boxed{0.784}\) is the margin of error for the given values of c, σ, and n.