How did you do longhand

(a) Write the claim mathematically and identify

(b) Find the critical value(s).

(c) Identify the rejection region(s).

(d) Use the chi squared-test to find the standardized test statistic.

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

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

Quarters are currently minted with weights normally distributed and having a standard deviation of 0.067. New equipment is being tested in an attempt to improve quality by reducing variation. A simple random sample of 26 quarters is obtained from those manufactured with the new equipment, and this sample has a standard deviation of 0.049. Use a 0.025 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.067. Does the new equipment appear to be effective in reducing the variation of weights? (a) Write the claim mathematically and identify Ho and Ha. O A. Ho: 0 20.067; Ha : 0 0.067 O D. H: 0 50.067; Ha : 0 > 0.067 (Claim)