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Quarters are currently minted with weights normally distributed and having a standard deviation of 0.069. 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 0.042. Use a 0.05 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.069. Does the new equipment appear to be effective in reducing the variation of weights? OA. in (c) Use the x²-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. O Reject O Fail to reject (e) Interpret the decision in the context of the original claim. OB. W Q Q C O A. Since the null hypothesis is rejected, the new equipment appears to be more effective. OC. Since the null hypothesis is rejected, the new equipment does not appear to be more effective. O. C. OB. Since the null hypothesis is not rejected, the new equipment appears to be more effective. OD. Since the null hypothesis is not rejected, the new equipment does not appear to be more effective.

Quarters are currently minted with weights normally distributed and having a standard deviation of 0.069. 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 0.042. Use a 0.05 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.069. Does the new equipment appear to be effective in reducing the variation of weights? OA. in (c) Use the x²-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. O Reject O Fail to reject (e) Interpret the decision in the context of the original claim. OB. W Q Q C O A. Since the null hypothesis is rejected, the new equipment appears to be more effective. OC. Since the null hypothesis is rejected, the new equipment does not appear to be more effective. O. C. OB. Since the null hypothesis is not rejected, the new equipment appears to be more effective. OD. Since the null hypothesis is not rejected, the new equipment does not appear to be more effective.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Quarters are currently minted with weights normally distributed and having a standard deviation of 0.069. 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 0.042. Use a 0.05 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.069. Does the new equipment appear to be effective in reducing the variation of weights? O A. In Q (c) Use the x²-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. O Reject Fail to reject (e) Interpret the decision in the context of the original claim. O B. O A. Since the null hypothesis is rejected, the new equipment appears to be more effective. O C. Since the null hypothesis is rejected, the new equipment does not appear to be more effective. O C. O B. Since the null hypothesis is not rejected, the new equipment appears to be more effective. O D. Since the null hypothesis is not rejected, the new equipment does not appear to be more effective.
Transcribed Image Text:Quarters are currently minted with weights normally distributed and having a standard deviation of 0.069. 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 0.042. Use a 0.05 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.069. Does the new equipment appear to be effective in reducing the variation of weights? O A. In Q (c) Use the x²-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. O Reject Fail to reject (e) Interpret the decision in the context of the original claim. O B. O A. Since the null hypothesis is rejected, the new equipment appears to be more effective. O C. Since the null hypothesis is rejected, the new equipment does not appear to be more effective. O C. O B. Since the null hypothesis is not rejected, the new equipment appears to be more effective. O D. Since the null hypothesis is not rejected, the new equipment does not appear to be more effective.
Quarters are currently minted with weights normally distributed and having a standard deviation of 0.069. 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 0.042. Use a 0.05 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.069. Does the new equipment appear to be effective in reducing the variation of weights? (a) Write the claim mathematically and identify Ho and H₂. O A. Ho: ≤0.069; H₂: >0.069 (Claim) OB. Ho: o≤0.069 (Claim); H₂: o> 0.069 OC. Ho: 20.069 (Claim); H₂: <0.069 O D. Ho: o 20.069; H₂: <0.069 (Claim) (b) Find the critical value(s). x² = (Use a comma to separate answers as needed. Round to three decimal places as needed.) Identify the rejection region(s). O A. Q OB. LA O C.
Transcribed Image Text:Quarters are currently minted with weights normally distributed and having a standard deviation of 0.069. 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 0.042. Use a 0.05 significance level to test the claim that quarters manufactured with the new equipment have weights with a standard deviation less than 0.069. Does the new equipment appear to be effective in reducing the variation of weights? (a) Write the claim mathematically and identify Ho and H₂. O A. Ho: ≤0.069; H₂: >0.069 (Claim) OB. Ho: o≤0.069 (Claim); H₂: o> 0.069 OC. Ho: 20.069 (Claim); H₂: <0.069 O D. Ho: o 20.069; H₂: <0.069 (Claim) (b) Find the critical value(s). x² = (Use a comma to separate answers as needed. Round to three decimal places as needed.) Identify the rejection region(s). O A. Q OB. LA O C.
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