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. Theresults are listed below. Construct a 99% confidence interval estimate of the mean. What is the practical use of theconfidence interval?2, 2, 1, 3, 4, 3, 4, 4, 3, 1What is the confidence interval for the population mean µ?|<µ<(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 theanswer boxes to complete your choice.O A. The confidence interval can be used to estimate that, with 99% confidence, the interval from toactually contains the true mean DNA base of all people.(Round to one decimal place as needed.)B. The given numbers are just substitutes for the four DNA base names, so the numbers do not measure orcount anything, and they are at the nominal level of measurement. The confidence interval has no practicaluse.C. The confidence interval can be used to estimate that 99% of all people have DNA bases between0.(Round to one decimal place as needed.)and

It is assumed that µ is the population mean of DNA bases.The sample size is n = 10.Population standard deviation is not mentioned. The sample size is not large (< 30). It is assumed that, the distribution of the DNA bases follows a normal distribution.Hence, Student’s t distribution can be used to find the confidence interval.The sample mean is, Consider the below table.x(x – x̅)2 = (x – 2.7)220.4920.4912.8930.0941.6930.0941.6941.6930.0912.89Total12.1The standard deviation is,The degrees of freedom is, .The confidence level is 0.99. Hence, the level of significance is .Using the Excel formula =T.INV.2T(0.01,9), or from the t-table corresponding to degrees of freedom of 9 and level of significance of 0.01 (two-tails), the critical value is, .The excel output is,The confidence interval is,Thus, the 99% confidence interval for the population mean µ is .The given numbers are just substitutes for the four DNA base names. Hence, the numbers do not measure or count anything. Any mathematical operation cannot be performed with these numbers. Thus, they are at the nominal level of measurement. As a result of that the confidence interval has no practical use.The 99% confidence interval for the population mean µ is .The correct option is B.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.