Business stats

One Attempt Per Question) Quarters are currently minted with weights normally distributed and having a standard deviation of 0.061. New equipment is being tested in an attempt to improve quality by reducing variation. A simple random sample of 27 quarters is obtained from those manufactured with the new equipment, and this sample has a standard deviation of 0.048. 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 0.061. 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 020 061, Ha o 0.061 (Claim) O D. Ho os0.061 (Claim), H. > 0.061 (b) Find the critical value(s) (Use a comma to separate answers as needed. Round to three decimal places as needed) Identify the rejection region(s) O A. O B OC. (c) Use the y-test to find the standardized test statistic. x2 = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Fail to reject O Reject (e) Interpret the decision in the context of the original claim. O A. Since the null hypothesis is not rejected, the new equipment does not appear to be more effective. O B. Since the null hypothesis is rejected, the new equipment does not appear to be more effective. O C. Since the null hypothesis is rejected, the new equipment appears to be more effective. O D. Since the null hypothesis is not rejected, the new equipment appears to be more effective