1. A sporting goods manufacturer claims that the variance of the strengths of a certain fishing line is 15.9. A random sample of 15 fishing line spools has a variance of 21.8. At a = 0.05, is there...

1. A sporting goods manufacturer claims that the variance of the strengths of a certain fishing line is 15.9. A random sample of 15 fishing line spools has a variance of 21.8. At a = 0.05, is there enough evidence to reject the manufacturer’s claim? Assume the population is normally distributed.

2. 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 a = 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 Ha.

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

c. Find the critical values x2L and x2R 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.