Question

Use the calculator provided to solve the following problems. • Consider at distribution with 24 degrees of freedom. Compute P

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Answer #1

Answers:

P(t ≤ 2.00) = 0.97153

c = 2.818756

Solution:

Consider a t distribution with 24 degrees of freedom. Compute P(t≤2.00)

We are given

df = 24

P(t ≤ 2.00) = 1 - P(t > 2.00)

P(t > 2.00) = 0.02847

(by using calculator/excel)

P(t ≤ 2.00) = 1 - 0.02847

P(t ≤ 2.00) = 0.97153

Now, we are given

df = 22

P(-c < t < c) = 0.99

This implies that

P(t < -c) + P(t > c) = 1 - 0.99 = 0.01

For t distribution, we have

P(t < -c) = P(t > c)

So, we have

2* P(t > c) = 0.01

P(t > c) = 0.005

So, the required value of c by using calculator or excel is given as below:

c = 2.818756

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