Chi-squared Hyp Testing

In a right tailed test, if the χ² _critical value = 25.99 and the

χ² _calculated value = 27.35, what is the conclusion?

How do you find degrees of freedom for a chi-square test?

What is the critical value for a chi-square test with the following information:

right-tailed, $$n=27$$ , $$\alpha=0.05$$

What is the critical value for a chi-square test with the following information:

left-tailed, $$n=7$$ , $$\alpha=0.01$$

Round to three decimal places.

Given the critical value in the picture, which of the following would allow you to reject the null hypothesis?

Use a chi-square test to test the claim given the sample statistics. Assume the population is normally distributed.

$$\sigma^2=0.52,\ \alpha=0.05,\ s^2=0.508,\ n=18$$

Use this information for the next several questions:

A large appliance company estimates that the variance of the life of its appliances is less than 3. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of the lives of 27 of the company's appliances has a variance of 2.8. Use $$\alpha=0.05$$ .

What type of tail does this have?

Use this information for the next several questions:

A large appliance company estimates that the variance of the life of its appliances is less than 3. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of the lives of 27 of the company's appliances has a variance of 2.8. Use $$\alpha=0.05$$ .

Find the critical value, $$X_0^2$$

Use this information for the next several questions:

A large appliance company estimates that the variance of the life of its appliances is less than 3. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of the lives of 27 of the company's appliances has a variance of 2.8. Use $$\alpha=0.05$$ .

What is the standardized test statistic, X²?

Use this information for the next several questions:

A large appliance company estimates that the variance of the life of its appliances is less than 3. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of the lives of 27 of the company's appliances has a variance of 2.8. Use $$\alpha=0.05$$ .

What is the decision about the claim?