Question

the calculator provided to solve the following problems.

Consider a t distribution with 2 degrees

P(-1.70< t< 1.70) Round your to at three places decimal places

Consider a t distribution with 11 degrees of freedom. Find the value

of such that P (t<c)=0.10 round your answer to at least three decimal places

Answer 1

Question 1

Solution:

Consider a t distribution with df = 2

P(-1.70< t< 1.70) Round your to at three places decimal places

P(-1.70< t< 1.70) = P(t<1.70) - P(t<-1.70)

P(-1.70< t< 1.70) = 1 - [P(t<-1.70) + P(t>1.70)]

P(-1.70< t< 1.70) = 1 - 2*P(t>1.70)

P(t>1.70) = 0.115617

(by using t-table/excel/calculator)

P(-1.70< t< 1.70) = 1 - 2*P(t>1.70)

P(-1.70< t< 1.70) = 1 - 2*0.115617

P(-1.70< t< 1.70) = 0.768766

P(-1.70< t< 1.70) = 0.769

Required probability = 0.769

Question 2

Consider a t distribution with 11 degrees of freedom. Find the value

of such that P (t<c)=0.10 round your answer to at least three decimal places

P (t<c) = 0.10

df = 11

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

c = - 1.36343

Answer: - 1.36343