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Samples of DNA are collected, and the four DNA bases of A, G, C, and T are coded as \( 1,2,3 \), and 4 , respectively. The results are listed below. Construct a confidence interval estimate of the mean. What is the practical use of the confidence interval? \( 2,2,1,3,4,4,4,4,3,1 \) b what is the connidence interval tor the population mean \( \mu \) ? \( 2.1<\mu<3.5 \) (Round to one decimal place as needed.) What is the practical use of the confidence interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The confidence interval can be used to estimate that \( 90 \% \) of all people have DNA bases between (Round to one decimal place as needed.) B. The confidence interval can be used to estimate that, with \( 90 \% \) confidence, the interval from 2.4 to 4.0 actually contains the true mean DNA base people. (Round to one decimal place as needed.) C. The given numbers are just substitutes for the four DNA base names, so the numbers do not measure or count anything, and they are at the nominal of measurement. The confidence interval has no practical use. ver

Ask by Bush Wilson. in the United States
Mar 16,2025

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The confidence interval for the population mean \( \mu \) is \( 2.1 < \mu < 3.5 \). The confidence interval is useful for estimating that, with 90% confidence, the true mean DNA base value lies between 2.1 and 3.5.

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Confidence intervals can be traced back to the early 20th century when statisticians, such as Jerzy Neyman, developed the concept to quantify uncertainty in estimates. This revolutionary idea made it possible for researchers to express how confident they are about their sample data reflecting a broader population, paving the way for more rigorous scientific methods in various fields, including genetics. In practice, a confidence interval helps in making informed decisions based on sample data. For instance, in the context of DNA analysis, the interval can guide researchers in understanding variability in DNA base composition across a population. If they find that the mean DNA base falls between certain values, they can make recommendations or predictions based on population studies, advancing genetic research and applications in medicine.

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