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An F-curve has df=(24,30). In each case, find the F-value having the specified area to its right.

a.0.05

b.0.01

c.0.025

Short Answer

Expert verified

(a) The required f-valueF0.05=1.89

(b)The required f-valueF0.01=2.47

(c) The required f-value F0.025=2.14

Step by step solution

01

Part (a) Step 1: Given information

Given in the question that , AnF-curve has df=(24,30). we need to find the F-value having the area0.05to its right.

02

Part (a) Step 2: Explanation

Given that,

The for an F-curvedf=(24,30)

To the right of the F-value=0.05

The numerator's degrees of freedom are =24.

The denominator's degrees of freedom are=30.

Statistical significance α=0.05

The critical values for the above supplied values are F0.05=1.89using the F-distribution tables.

The critical value and probability are shown in the shaded zone of the graph below.

03

Part (b) Step 1: Given information

Given in the question that, An F-curve has df=(24,30). we need to flnd the F-value having the area0.01 to its right.

04

Part (b) Step 2: Explanation

Given: df=(24,30)on an F-curve

The area immediately to the right of the F-value =0.01.

The degrees of freedom for the numerator are =24.

The denominator's degrees of freedom are=30.

α=0.01significance level

The critical values for the above supplied values areF0.01=2.47using the F-distribution tables.

The critical value and probability are shown in the shaded zone of the graph below.

05

Part (c) Step 1: Given information

Given in the question that, An F-curve has df=(24,30). we need to flnd theF-value having the area 0.025 to its right.

06

Part (b) Step 2: Explanation

given,

The for an F-curvedf=(24,30)

To the right of F-value =0.025is the area.

The degrees of freedom for the numerator are =24.

The denominator's degrees of freedom are=30.

α=0.025significance level

The critical values for the above supplied values are F0.025=2.14when using the F-distribution tables.

The critical value and probability are shown in the shaded zone of the graph below.

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