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 = 4.799milligrams. Construct a 90% lower confidence bound for ?. Round your answer to 3 decimal places.

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 = 4.799milligrams. Construct a 90% lower confidence bound for ?. Round your answer to 3 decimal places. (

Solution

The degree of freedom =n-1=10-1=9

Given a=1-0.9=0.1, chisquare with 0.9 and df=9 is 14.68 (from chisquare table)

So the lower bound is

sqrt(n-1)*s/sqrt(14.68)

=3*4.799/sqrt(14.68)

=3.758