Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim, A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 34 coins was collected. Those coins have a mean weight of 2.49589 g and a standard deviation of 0.01427 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint? What are the hypotheses? О В. Но и32.5g H4:µ<2.5 g O A. Ho: H= 2.5 g H4: µ#2.5 g OC. Ho: H#2.5 g H4:u= 2.5 g O D. Ho: H=2.5 g Η: μ2 2.5g Identify the test statistic. t= (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g.

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Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original
claim,
A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 34 coins was collected. Those coins have a mean weight of 2.49589 g and a standard deviation of 0.01427 g. Use a 0.05 significance level to test the
claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint?
What are the hypotheses?
О В. Но и32.5g
H4:µ<2.5 g
O A. Ho: H= 2.5 g
H4: µ#2.5 g
OC. Ho: H#2.5 g
H4:u= 2.5 g
O D. Ho: H=2.5 g
Η: μ2 2.5g
Identify the test statistic.
t= (Round to three decimal places as needed.)
Identify the P-value.
The P-value is
(Round to four decimal places as needed.)
State the final conclusion that addresses the original claim. Choose the correct answer below.
O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g.
O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g.
O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g.
O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g.
Transcribed Image Text:Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim, A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 34 coins was collected. Those coins have a mean weight of 2.49589 g and a standard deviation of 0.01427 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint? What are the hypotheses? О В. Но и32.5g H4:µ<2.5 g O A. Ho: H= 2.5 g H4: µ#2.5 g OC. Ho: H#2.5 g H4:u= 2.5 g O D. Ho: H=2.5 g Η: μ2 2.5g Identify the test statistic. t= (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g. O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the sample is from a population with a mean weight equal to 2.5 g.
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