A quality technician claims that the variance of the insert diameters produced by a plastic companys new

Question:

A quality technician claims that the variance of the insert diameters produced by a plastic company’s new injection mold for automobile dashboard inserts is less than the variance of the insert diameters produced by the company’s current mold. The table shows samples of insert diameters (in centimeters) for both the current and new molds. At α = 0.05, can you support the technician’s claim?

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

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

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

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.