At = 0.01, is there enough evidence to conclude that the variance of the hourly wages for respiratory therapy technicians in Oklahoma is greater

At α = 0.01, is there enough evidence to conclude that the variance of the hourly wages for respiratory therapy technicians in Oklahoma is greater than the variance of the hourly wages for respiratory therapy technicians in Massachusetts?

Use the data, which list the hourly wages (in dollars) for randomly selected respiratory therapy technicians from three states. Assume the wages are normally distributed and that the samples are independent.

Maine: 20.92, 25.37, 23.06, 15.64, 27.72, 24.90, 19.26, 23.46, 18.49, 21.76, 22.36

Oklahoma: 22.70, 19.95, 17.85, 16.76, 21.32, 18.96, 17.99, 28.35, 25.30, 21.93

Massachusetts: 25.43, 23.21, 30.81, 26.62, 31.42, 31.34, 34.58, 28.22, 27.25,22.83, 27.45, 27.71

(a) Identify the claim and state H₀ and H_a,

(b) Find the critical value and identify the rejection region,

(c) Find the test statistic,

(d) Decide whether to reject or fail to reject the null hypothesis, and

(e) Interpret the decision in the context of the original claim.