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. Q in (c) Use the x-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. Reject O Fail to reject (e) Interpret the decision in the context of the original claim. OB. in Q 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. Q OB. Since the null hypothesis is not rejected, the new equipment appears to be more effective. OD. Since the null hypothesis not rejected, the new equipment does not appear to be more effective.

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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.
Q
in
(c) Use the ²-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.
V
Q
Q
C・・・
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.
Q
Q
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. Q in (c) Use the ²-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. V Q Q C・・・ 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. Q Q 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.
Research has shown that approximately 1 woman in 700 carries a mutation of a particular gene. About 55% of women with this mutation develop colon cancer.
Find the probability that a randomly selected woman will carry the mutation of this gene and will develop colon cancer.
(...)
The probability that a randomly selected woman will carry the gene mutation and develop colon cancer is
(Round to four decimal places as needed.)
Sample Space: Women
Women
with
mutated.
gene
Women
who
develop
colon
cancer
Transcribed Image Text:Research has shown that approximately 1 woman in 700 carries a mutation of a particular gene. About 55% of women with this mutation develop colon cancer. Find the probability that a randomly selected woman will carry the mutation of this gene and will develop colon cancer. (...) The probability that a randomly selected woman will carry the gene mutation and develop colon cancer is (Round to four decimal places as needed.) Sample Space: Women Women with mutated. gene Women who develop colon cancer
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