The sugar content of the syrup in canned peaches is normally

The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standard deviation of s = 4.797milligrams. Construct a 90% lower confidence bound for ?. Round your answer to 3 decimal places.

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Solution

As              
              
df = n - 1 =    9          
alpha = (1 - confidence level) =    0.1          
              
Then the critical values for chi^2 are              
              
chi^2(alpha) =    14.68365657          
              
Thus, as              
              
lower bound = (n - 1) s^2 / chi^2(alpha) =    14.1041763          
              
Thus, for the standard deviation, getting the square root of the bounds,              
              
(   3.755552729   ,   infinity   ) [ANSWER]