# Test Statistic and Critical Value

1. H0: Σ 2 <= 22

Ha: Σ 2 > 22

A sample of 29 ages from a normal population yields a sample variance of 32.9. You want to test the following hypothesis using α=.025

What is the test statistic?

What is the critical value?

2. H0: Σ 2 >= 24

Ha: Σ 2 < 24

A sample of 28 ages from a normal population yields a sample variance of 18.4. You want to test the following hypothesis using α=.025

What is the test statistic?

What is the critical value?

Please show detailed answers.

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#### Solution Summary

The solution describes the determination of the test statistic and critical value of testing of hypothesis problems.

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