Reference no: EM132385077

You are interested in whether the data you have collected provide sufficient evidence to indicate a difference in mean serum uric acid levels between individuals without Down's syndrome and individuals with Down's syndrome. The data consist of serum uric acid readings on 12 individuals with Down's syndrome and 15 individuals without Down's syndrome. The means are 4.5 mg/100 ml for the Down's sample and 3.4 mg/100 ml for the sample of individuals without Down's syndrome. Assume that the two independent samples are drawn from normally distributed populations with variances equal to 1 and 1.5 for the Down's and non-Down's samples, respectively. Do you have sufficient evidence to indicate a difference in uric acid levels? Assume α = 0.05, state the hypothesis that you are testing, show all calculations, provide the p value for the test statistic, and provide the 95% confidence interval for the difference between the two means.