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 95\% confidence interval estimate of the mean What is the practical use of the confidence interval?
$1,1,2,3,4,3,4,3,3,2$ 으.
What is the confidence interval for the population mean $\mu$ ?
$1.9< \mu< 3.3$ (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, with $95 \%$ confidence, the interval from $\square$ to $\square$ actually contains the true mean DNA base of all people. (Round to one decimal place as needed)
B. The confidence inferval can be used to estimate that $95 \%$ of all people have DNA bases between $\square$ and $\square$. (Round to one decimal place as needed)
C. The gven 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.
Answer
Final Answer: \boxed{\text{A. The confidence interval can be used to estimate that, with 95% confidence, the interval from 1.9 to 3.3 actually contains the true mean DNA base of all people.}}
Step 1 ：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 as $1,1,2,3,4,3,4,3,3,2$.
Step 2 ：The confidence interval for the population mean $\mu$ is calculated as $1.9<\mu<3.3$ (Round to one decimal place as needed).
Step 3 ：The practical use of the confidence interval is to estimate that, with 95% confidence, the interval from 1.9 to 3.3 actually contains the true mean DNA base of all people.
Step 4 ：This interpretation is correct because a confidence interval is a range of values, derived from a data set, that is likely to contain the value of an unknown population parameter. In this case, the population parameter is the mean DNA base of all people.
Step 5 ：Even though the numbers are substitutes for the DNA base names, they still represent a quantitative measure and can be used to calculate a confidence interval.
Step 6 ：Final Answer: \boxed{\text{A. The confidence interval can be used to estimate that, with 95% confidence, the interval from 1.9 to 3.3 actually contains the true mean DNA base of all people.}}
