Final answer:
The level of a two-sided confidence interval for t=2.776 with a sample size of 5 is (4.224, 9.776).
Step-by-step explanation:
The level of a two-sided confidence interval can be found using a table of t-values or a calculator. For a t-distribution with 5 degrees of freedom and a 95% confidence interval, the value is 2.776. The confidence interval is calculated by taking the sample mean and adding or subtracting the margin of error, which is the product of the t-value and the standard error. In this case, the confidence interval is (7 - 2.776, 7 + 2.776), which simplifies to (4.224, 9.776).