A company that offers dieting products and weight loss services claims that the variance of the weight losses of their users is 25.5. A random sample of 13 users has a variance of 10.8. At α = 0.10, is there enough evidence to reject the company’s claim? Assume the population is normally distributed.

a. Identify the claim and state H₀ and H_a.

b. Identify the level of significance α and the degrees of freedom.

c. Find the critical values X_L² and X_R² and identify the rejection regions.

d. Find the standardized test statistic X².

e. Decide whether to reject the null hypothesis. Use a graph if necessary.

f. Interpret the decision in the context of the original claim.