Answer: i) M.E = 1.96×100/√484
M.E = 8.91
ii) M.E = 1.96×100/√1764
M.E = 4.67
Therefore, the margin of error decreases as the sample size increases.
Step-by-step explanation:
Margin of error in statistics can be defined as a small amount that is allowed for in case of miscalculation or change of circumstances.
For a statistical data margin of error can be expressed as;
M.E = zr/√n
Given that;
Standard deviation r = 100
Confidence interval = 95%
sample size n1 = 484, n2 = 1764
Z(at 95% confidence interval) = 1.96
i) M.E = 1.96×100/√484
M.E = 8.91
ii) M.E = 1.96×100/√1764
M.E = 4.67
Therefore, the margin of error decreases as the sample size increases.
