Question

Use the calculator provided to solve the following problems.

• Consider a t distribution with

  8

  degrees of freedom. Compute

  P≥t−1.87

  . Round your answer to at least three decimal places.
• Consider a t distribution with

  5

  degrees of freedom. Find the value of

  c

  such that

  =P<−c<tc0.90

  . Round your answer to at least three decimal

Answer 1

1) Given that, degrees of freedom = 8

P(t >= - 1.87) = P(t <= 1.87) = 0.9508

=> P(t >= -1.87) = 0.9508

2) Given that, degrees of freedom = 5

We want to find, c such that, P(-c < t < c) = 0.90

P(-c < t < c) = 0.9

=> 2 * P(t < c) - 1 = 0.90

=> 2 * P(t < c) = 1.90

=> P(t < c) = 0.95

Uisng TI-84 calculator we get, c = 2.015

=> P(-2.015 < t < 2.015) = 0.90