Question

Find the level of a two-sided confidence interval that is based on t_n−1,α/2 = 2.776, sample size 5.

Answer 1

Given that

Sample size = n = 5

Critical value : tc = 2.776

Therfore Degrees of freedom = n - 1 = 5 - 1 = 4

we want to find confidence level of two sided confidence interval

Find the Critical value ( tc = 2.776) in the inner part of t table ( two tailed) corresponding to the Degrees of freedom(4)

we get

Note that

Confidence level

  

Therefore the required Confidence level = C = 0.95 = 95% ........................(ANSWER)