A research team is interested in the difference between serum uric acid levels in patients with...

A research team is interested in the difference between serum uric acid levels in patients with and without Down’s syndrome.
In a large hospital for the treatment of the mentally challenged, a sample of 12 individuals with Down’s syndrome yielded a mean of 4.5mg/100 ml.
In a general hospital a sample of 15 normal individuals of the same age and gender were found to have a mean value of 3.4. If it is reasonable to assume that the two populations of values are normally distributed with variances equal to 1 and 1.5 respectively, find the 95 percent confidence interval for the difference of the two means.

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