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Find the critical value of the chi-square distribution for each of the following situations: 1. HA:...

Find the critical value of the chi-square distribution for each of the following situations:

1. HA: σ^2 > 0.25, n = 10, α = 0.05

2. HA: σ^2 > 20, n = 20, α = 0.025

3. HA: σ^2 ≠ 0.25, n = 10, α = 0.10

Math   Statistics-And-Probability   
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Answer #1

1) Number of degrees of freedom is   

The test is right tailed test as and the significance level is

Hence using Chi-square table we have the critical value is

2) Number of degrees of freedom is   

The test is right tailed test as and the significance level is

Hence using Chi-square table we have the critical value is

3) Number of degrees of freedom is   

The test is right tailed test as and the significance level is

Hence using Chi-square table we have the critical values are

and

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