In: Statistics and Probability
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.