A publishing company is interested in the number of books read each year by people. They send out 50 volunteers to conduct research by collecting random samples of 20 people each and determining the number of books that group read in the previous year. After looking at the sample means, the company estimates that the mean number of books read is 12.4 with a margin of error of 2.4. Based on these values, what interval is likely to contain the true mean number of books read in the previous year by the population?