1. 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 Downs 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 follow: Down's syndrome 7 = 4.5 (mg/100ml) 01 = 2.5 Normal 12 = 3.4 (mg/100ml) 02 = 3.5 1. Conduct the test at the .05 level of significance. (NOTE: state parameters in H, and H.). (a) H. (b) H (e) test statistic: (d) p-value: (e) conclusion: 2. Form a 95% confidence interval for the difference between populations means: Mi - M2.
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To address the research question regarding the difference in mean serum uric acid levels between individuals with Down's syndrome and normal individuals, we will conduct a hypothesis test and then calculate a confidence interval. 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:
Supreeta N.
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.
Ivan K.
15. Researchers claim that the data they collected provide sufficient evidence to indicate that the mean serum uric acid levels for individuals with Down’s syndrome is greater than that for normal individuals. The data consist of serum uric acid readings on 12 individuals with Down's syndrome and 15 normal individual. The sample results are: Down’s syndrome Normal Sample Size n1 = 12 n2 = 15 Sample Mean x̄1 = 4.5 x̄2 = 3.4 Sample Variance s1² = 1.0 s2² = 1.5 Assume that σ1² = σ2². Perform an appropriate test to determine whether the data present sufficient evidence to support the researcher's claim. Compute the test statistic. (Round off your answer to two decimal places.) (a) 2.79 (b) 2.51 (c) 1.71 (d) 2.16 (e) None of these 16. Refer to Question 15, what is the p-value? (Round off your answer to four decimal places.) (a) 0.7387 (b) 0.2613 (c) 0.9905 (d) 0.0095 (e) None of these 17. Refer to Question 15, construct a 95% confidence interval for the difference μ1 – μ2 of population means. (Round off your answer to four decimal places.) (a) [0.2184, 2.2816] (b) [0.1867, 2.3163] (c) [0.1974, 2.0026] (d) [0.1946, 2.3054] (e) None of these
Madhur L.
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