SOLUTION: Starting salaries of 90 college graduates who have taken a statistics course have a mean of $42,432 and a standard deviation of $10,854. Using a 0.91 degree of confidence, find b

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Question 1140014: Starting salaries of 90 college graduates who have taken a statistics course have a mean of $42,432 and a standard deviation of $10,854.
Using a 0.91 degree of confidence, find both of the following:
A. The margin of error E

B. The confidence interval for the mean μ:
<μ<

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
half-interval is t df=89*s/sqrt(n)
t=1.714
E=1.714*10854/sqrt(90)=$1961.01 or $1961
91% CI is ($40471, $44393), the mean +/- the error
if one uses a z-test then z=1.695
and the interval width is 1939.27 or $1939 and the interval is ($40493, $44371)