Quarters are currently minted with weights normally distributed and having a standard deviation of 0.068. New equipment is being tested in an attempt to improve quality by reducing variation. A simple random sample of 28 quarters is obtained from those manufactured with the new equipment, and this sample has a standard deviation of 0.042. 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 0.068. Does the new equipment appear to be effective in reducing the variation of welghts? (a) Write the claim mathematically and identify Ho and H.

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Quarters are currently minted with weights normally distributed and having a standard deviation of 0.068. New equipment is being tested in an attempt to
improve quality by reducing variation. A simple random sample of 28 quarters is obtained from those manufactured with the new equipment, and this
sample has a standard deviation of 0.042. 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 0.068. Does the new equipment appear to be effective in reducing the variation of welights?
(a) Write the claim mathematically and identify H, and H,
CA H o20.068, H,: o<0.068 (Claim)
OB Ho: o5 0.068 (Claim); H,: o>0.068
C. H: o 2 0.068 (Claim); H: o<0.068
O. Ho: o50.068; H: o > 0.068 (Claim)
(b) Find the critical value(s).
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
Transcribed Image Text:Quarters are currently minted with weights normally distributed and having a standard deviation of 0.068. New equipment is being tested in an attempt to improve quality by reducing variation. A simple random sample of 28 quarters is obtained from those manufactured with the new equipment, and this sample has a standard deviation of 0.042. 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 0.068. Does the new equipment appear to be effective in reducing the variation of welights? (a) Write the claim mathematically and identify H, and H, CA H o20.068, H,: o<0.068 (Claim) OB Ho: o5 0.068 (Claim); H,: o>0.068 C. H: o 2 0.068 (Claim); H: o<0.068 O. Ho: o50.068; H: o > 0.068 (Claim) (b) Find the critical value(s). (Use a comma to separate answers as needed. Round to three decimal places as needed.)
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