SOLUTION: Confidence Interval (Please be as Detailed as Possible) The lengths (in inches) of 9 fish caught in Falcon Lake are given below: 8.8, 33.7, 3.1, 5.1, 28.0, 13

Question 1056949: Confidence Interval (Please be as Detailed as Possible)
The lengths (in inches) of 9 fish caught in Falcon Lake are given below:
8.8, 33.7, 3.1, 5.1, 28.0, 13.5, 9.5, 12.1, 7.7
Assume that the distribution of lengths of fish in this lake is normal

a. Estimate the true mean length of the fish in this lake with 80% confidence.
(Hint: the standard deviation of the 9 fish caught is 10.4 inches.)
b. Write a brief summary interpreting your answer to part (a).
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The mean is 13.5, the sd is 10.4
the interval is t(0.90, df=8)*10.4/sqrt (9)=1.397*10.4/3=4.84
The 80% CI is the mean +/- 4.84 or (5.56,15.24) units inches
That means we are 80% confident that the true value is in the interval. We don't know the true value and never will, but we are moderately confident it is between 5.56 and 15.24 inches.

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