Suppose that T has a tdistribution with v15 degrees of freed

Suppose that T has a t-distribution with v=15 degrees of freedom

a) find constants a and b such that P(a<Y<b) =.99

b) find a constant c such that P(Y<c)= .99

Solution

a)

For the confidence level of middle 99%, the critical value for t, at df = 15 is, by table/technology,

tcrit = 2.946712883

Thus, by symmetry in the t distirbution,

a = -2.946712883
b = 2.946712883 [ANSWER]

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b)

If the left tailed area of T = c is 0.99, by table/technology

c = 2.602480295 [ANSWER]