Question

A research team wanted to compare the difference between serum uric acid levels in patients with and without Down syndrome. A sample of 12 individuals with Down syndrome yielded a mean of 4.5 mg/100 ml with standard deviation 1 mg/100 ml while a sample of 15 individuals without Down syndrome yielded a mean of 3.4 mg/100 ml with standard deviation 1.2 mg/100 ml. Let those with Down syndrome be group 1 and those without be group 2. Note: When doing calculations with the means and standard deviations, just use the main number. For example: “4.5 mg/100 ml” --> just use 4.5 A. What are the sample statistics (p̂1 and p̂2 or ȳ1 and ȳ2)? Please calculate/write their values and calculate their difference (p̂1-p̂2 or ȳ1-ȳ2). B. Construct a 95% confidence interval for the true average difference in serum uric acid levels overall between those with Down syndrome and those without. Use t* = 2.06 if solving by hand. Provide the interval in (left endpoint, right endpoint) format. C. Interpret the confidence interval in the context of the study.

Answer 1