Question

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 90% confidence interval estimate of the mean. what is the practical use of the confidence interval? 2, 2, 1, 4, 3, 4, 3, 3, 4, 1 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 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 level of measurement. the confidence interval has no practical use. b. the confidence interval can be used to estimate that 90% of all people have dna bases between and (round to one decimal place as needed.) c. the confidence interval can be used to estimate that, with 90% confidence, the interval from to actually contains the true mean dna base of all people. (round to one decimal place as needed.)

Explanation:

The numbers \(1,2,3,4\) are used as substitutes for DNA base names (A, G, C, T). In statistics, when data is at the nominal level (used for naming/categorizing only, no order or numerical value meaning in the traditional sense), calculating a mean and its confidence interval is not meaningful. The confidence interval is a statistical measure used for numerical data that has a quantitative meaning (like heights, weights, etc., where numbers represent actual measurements). Here, the numbers just label the DNA bases and don't have a quantitative value that can be meaningfully averaged.

Answer:

A. 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 level of measurement. The confidence interval has no practical use.