Answer:
<em>The margin of error = 2.13</em>
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given random sample size 'n' =19</em>
<em>mean of the sample(x⁻) = 55 applicants</em>
<em>Given standard deviation of the Population(S.D) = 4</em>
Given confidence intervals are
((52.87.57.14)
we know that The Margin of error is determined by
<em>The confidence intervals are determined by </em>
<em>(x⁻ - M.E , x⁻+ M.E)</em>
<u><em>Step(ii):-</em></u>
<em>Given confidence intervals are </em>
<em>((52.87.57.14)</em>
Now equating
<em>(x⁻ - M.E , x⁻+ M.E) = ((52.87 , 57.14)</em>
Given mean of the sample x⁻ = 55
( 55 - M.E , 55 + M.E) =((52.87.57.14)
Equating
55 - M.E = 52.87
M.E = 55 - 52.87
M.E = 2.13
<u><em>Final answer</em></u><em>:-</em>
<em>The margin of error = 2.13</em>