SOLUTION: Fat contents (in percentage) for 10 randomly selected hot dogs were given in the article "Sensory and Mechanical Assessment of the Quality of Frankfurters". Use the following data

Question 713391: Fat contents (in percentage) for 10 randomly selected hot dogs were given in the article "Sensory and Mechanical Assessment of the Quality of Frankfurters". Use the following data to construct a 99% confidence interval for the true mean fat percentage of hot dogs:
Note: you should carry at least 5 decimal precision for any intermediate calculations then round your answer as indicated in the problem

25.4,21.5,23.0,17.5,30.0,21.2,25.7,16.4,21.3,19.9
This is what I know but not sure how I get the rest of the answer.
Sample mean= 22.2, s=4.0, n=10
C) t-crit =
Note: round this answer to 2 decimal place precision
D) Low: % to High: %
Note: round these endpoints to 1 decimal place precision
I can't figure out the rest can anyone walk me step by step

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Fat contents (in percentage) for 10 randomly selected hot dogs were given in the article "Sensory and Mechanical Assessment of the Quality of Frankfurters". Use the following data to construct a 99% confidence interval for the true mean fat percentage of hot dogs:
Note: you should carry at least 5 decimal precision for any intermediate calculations then round your answer as indicated in the problem
25.4,21.5,23.0,17.5,30.0,21.2,25.7,16.4,21.3,19.9
This is what I know but not sure how I get the rest of the answer.
Sample mean= 22.2, s=4.0, n=10
-------
x-bar = 22.2
C) t-crit = |invNorm(0.005| = 2.5758
E = t*s/sqrt(n)
E = 2.5758*4/sqrt(10) = 3.2582
----------------
99% CI: 22.2-3.2582 < u < 22.2+3.2582
99% CI: 18.94 < u < 25.46
==================================

Cheers,
Stan H.
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