solution:
a) Given that
Sample size(n) = 400
Sample standard deviation (s) = 92
we know that
Margin of error = Critical value * Standard error =
For 95% confidence level , = 1 - CL = 1 - 0.95 = 0.05
Critical value : Z(/2) = Z(0.025) = 1.96
Margin of error = = = 9.016 =~ 9.0
b) Given that
Sample size(n) = 1600
Sample standard deviation (s) = 92
we know that
Margin of error = Critical value * Standard error =
For 95% confidence level , = 1 - CL = 1 - 0.95 = 0.05
Critical value : Z(/2) = Z(0.025) = 1.96
Margin of error = = = 4.508 =~ 4.5
c) we can observe that
when the sample size increases , the margin of error decreases
So,Option-A is correct.
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