STATISTICS QUESTIONS:-

Given the following values of Y', 5, and n, form a 90% confidence interval for o2 a. T = 21 . 5 = 2.5, n = 50 b. Y = 1.3 53 .02, n = 15 C. X = 167., 5 = 31.8, n = 22 d. I = 9.4. 5 = 1.5, n = 5A random sample of n = 6 observations from a normal distribution resulted in the data shown in the table and saved in the LM5_99 file. Compute a 95%% confidence interval for 02 2 3 7 11Antigens for a parasitic roundworm in birds. Refer to the Gene Therapy and Molecular Biology (June 2009) study of DNA in peptide (protein) produced by antigens for a parasitic roundworm in birds, Exercise. Recall that scientists tested each in a sample of 4 alleles of antigen-produced protein for level of peptide. The results were: * = 1,43 and s = . 13. Use this information to construct a 90% confidence interval for the true variation in peptide scores for alleles of the antigen-produced protein. Interpret the interval for the scientists. Antigens for a parasitic roundworm in birds. Ascaridia galli is a parasitic roundworm that attacks the intestines of birds, especially chickens and turkeys. Scientists are working on a synthetic vaccine (antigen) for the parasite. The success of the vaccine hinges on the characteristics of DNA in peptide (protein) produced by the antigen. In the journal Gene Therapy and Molecular Biology (June 2009), scientists tested alleles of antigen-produced protein for level of peptide. For a sample of 4 alleles, the mean peptide score was 1.43 and the standard deviation was .13. a. Use this information to construct a 90% confidence interval for the true mean peptide score in alleles of the antigen-produced protein. b. Interpret the interval for the scientists. C. What is meant by the phrase "90%% confidence"?Water pollution testing. The EPA wants to test a randomly selected sample of n water specimens and estimate p, the mean daily rate of pollution produced by a mining operation. If the EPA wants a 95%% confidence interval estimate with a sampling error of 1 milligram per liter (mg/L). how many water specimens are required in the sample? Assume that prior knowledge indicates that pollution readings in water samples taken during a day are approximately normally distributed with a standard deviation equal to 5 (mg/L)