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For the general population, IQ test scores are normally distributed with a mean of 100 and...

For the general population, IQ test scores are normally distributed with a mean of 100 and a variance of 225.

The IQ scores for a sample of 81 randomly selected chemical engineers resulted in a variance of 144.

We want to test the claim that the variance for chemical engineers is less than that of the general population.

1. What is the Null Hypothesis and the Alternative Hypothesis?

2. If we use a 0.01 significance level, what is the critical value for the test?

3. What is the value of the test statistic?

4. What is your decision about the null hypothesis? What is your conclusion about the claim?

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