Researchers wish to know if the data they have collected provide sufficient evidence to indicate a difference in mean serum uric acid levels between normal individuals and individuals with Down's syndrome. The data consist of serum uric acid readings on 12 individuals with Down's syndrome and 15 normal individuals. The means are 4.5 mg/100ml and 3.4 mg/100ml.
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Step 1
- Null hypothesis (\(H_0\)): There is no difference in mean serum uric acid levels between normal individuals and individuals with Down's syndrome. Mathematically, \( \mu_1 = \mu_2 \), where \( \mu_1 \) is the mean serum uric acid level for normal individuals Show more…
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Researchers wish to know if the data they have collected provide sufficient evidence to indicate a difference in mean serum uric acid levels between normal individuals and individuals with Down syndrome. The data consist of serum uric acid readings on 35 individuals with Downs syndrome and 40 normal individuals. The sample means and population standard deviations are as follows: Conduct the test at the 0.05 level of significance. (NOTE: state parameters in H0 and Ha) H0: The mean serum uric acid levels are the same between normal individuals and individuals with Down syndrome. Ha: There is a difference in mean serum uric acid levels between normal individuals and individuals with Down syndrome. Test statistic: p-value: Conclusion:
Madhur L.
A research team is interested in the difference between serum uric acid levels in patients with and without Down Syndrome. In a large hospital for the treatment of the mentally retarded, a sample of 12 individuals with Down Syndrome yielded a mean of 4.5 mg/100ml. In a general hospital, a sample of 15 normal individuals of the same age and sex were found to have a mean value of 3.4 mg/100ml. If it is reasonable to assume that the two populations of values are normally distributed with variances equal to 1 and 1.5, find and interpret the 95% confidence interval.
Kratika B.
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 retarded, a sample of 12 individuals with Down's syndrome yielded a mean of x1 = 4.5 mg/100 ml. In a general hospital, a sample of 15 normal individuals of the same age and sex were found to have a mean value of x2 = 3.44 mg/100 ml. If it is reasonable to assume that the two populations have a difference in means between patients with and without Down's syndrome to be (0.26, 1.94), is this evidence that there is a difference in the mean amount of serum uric acid levels in patients with and without Down's syndrome? Why or why not?
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