Explanation:
Given mean = 84,
Standard deviation = 2,
Sample 64,
95% confidence interval: z = 1.96
Applying empirical rule , means that 95% of data fall within two standard deviations.
ME = [tex]1.96*\frac{2}{\sqrt{8}}[/tex] = 0.49
Rounding this to 0.5
CI = 83.5< mean < 84.5
Outside of this range= x ≤ 83.5 and ≥ 84.5
