Q 8.115. - Elementary Statistics

Question

For a $f-$curve with $\mathrm{df}=6$, use Table IV to find each $f-$value.

a. $t_{0.10}$

b. $t_{0.025}$

c. $f_{0.01}$

Step-by-Step Solution

Answer

Part (a) $t_{0.10}=1.440$

part (b) $t_{0.025}=2.447$

Part (c) $t_{0.01}=3.143$

Part (a) Step 1: Given information

A f-curve with $\mathrm{df}=6$.

Part (a) Step 2: Calculation

$t_{0.10}$To find the value of $t_{0.10}$ for $t_{0.10}$

Because there are $6$ degrees of freedom, we begin in table-IV by going along the outside columns, designated df, to "$6$" Then we get to $1.440$ by traversing across that row to the column labelled $t_{0.10}$

$\therefore f_{w}df=6,t_{0.10}=1.440$

Part (b) Step 1: Calculation

To find the value of $t_{0.025}$ for $d f=6$

The number of degrees of freedom is $6$, hence in table IV, we go along the outside columns labelled df to "$6$" Then we get to $2.447$ by traversing across that row to the column labelled $t_{0.025}$

$\therefore$ For $df=6,t_{0.025}=2.447$

Part (c) Step 1: Calculation

To find the value of $t_{0.01}$ for $d f=6$

Because there are $6$ degrees of freedom, we begin in table-IV by going along the outside columns, designated df, to "$6$" Then we reach $3.143$ by continuing across that row to the column labelled $t_{0.01}$

$\therefore \text{ For }df=6,t_{0.01}=3.143$