Answer:
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Step-by-step explanation:
Answer:
(507.05, 592.95)
Step-by-step explanation:
Given data:
sample mean = $550, sample standard deviation S = $60.05
95% confidence interval , n = 10
For 95% confidence interval for the mean
mean ± M.E.
where M.E. is margin of error = 
Substituting the values in above equation

= 2.62×18.99
=42.955
= 550±42.95
=(507.05, 592.95)
The idea is to use the tangent line to
at
in order to approximate
.
We have


so the linear approximation to
is

Hence
and
.
Then
