SOLUTION: A 90% confidence interval around the variance was calculated. For n = 27 , the confidence interval was 35.0–88.4. Give the variance of the sample.
Algebra ->
Probability-and-statistics
-> SOLUTION: A 90% confidence interval around the variance was calculated. For n = 27 , the confidence interval was 35.0–88.4. Give the variance of the sample.
Log On
Question 1040407: A 90% confidence interval around the variance was calculated. For n = 27 , the confidence interval was 35.0–88.4. Give the variance of the sample. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A 90% confidence interval around the variance was calculated. For n = 27 , the confidence interval was 35.0–88.4. Give the variance of the sample.
-----
The width of the CI is 2*ME
-----
Your Problem::
2*ME = (88.4-35) = 53.4
ME = 26.7
--------------
ME = z*s/sqrt(n)
26.7 = 1.645*s/sqrt(27)
----
1.645*s = 26.7*sqrt(27) = 138.74
s = 84.34
Ans: variance = s^2 = 84.34^2 = 7113.23
-----------
Cheers,
Stan H.
----------
(