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 2.5g. A sample of 33 coins was collected. Those coins have a mean weight of 2.49571 g and a standard deviation of 0.01628 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? ⧠ A. ?0: ? ≠ 2.5 ?1: ? = 2.5 ⧠ B. ?0: ? = 2.5 ?1: ? ≠ 2.5 ⧠ C. ?0: ? = 2.5 ?1: ? ≥ 2.5 ⧠ D ?0: ? = 2.5 ?1: ? < 2.5 Identify the test statistic? ______________________________ Identify the P-value? P-value = ____________________________ State the final conclusion that addresses the original claim. ⧠ A. Reject H0. 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. ⧠ B. Reject H0. 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. ⧠ C. Fail to reject H0. 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. ⧠ D. Fail to reject H0. 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. Do the coins appear to conform to the specification of the coin mint? ⧠ A. No, since the coins seem to come from a population with a mean weight different from 2.49571g. ⧠ B. No, since the coins seem to come from a population with a mean weight different from 2.5g. ⧠ C. Yes, since the coins do not seem to come from a population with a mean weight different from 2.5g. ⧠ D. Yes, since the coins do not seem to come from a population with a mean weight different from 2.49571g. ⧠ E. The results are inconclusive because individual differences in coin weights need to be analyzed further
Assume that a simple random sample has been selected from a
A coin mint has a specification that a particular coin has a
What are the hypotheses? ⧠ A. ?0: ? ≠ 2.5 ?1: ? = 2.5
⧠ B. ?0: ? = 2.5 ?1: ? ≠ 2.5
⧠ C. ?0: ? = 2.5 ?1: ? ≥ 2.5
⧠ D ?0: ? = 2.5 ?1: ? < 2.5
Identify the test statistic? ______________________________
Identify the P-value? P-value = ____________________________
State the final conclusion that addresses the original claim.
⧠ A. Reject H0. 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.
⧠ B. Reject H0. 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.
⧠ C. Fail to reject H0. 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.
⧠ D. Fail to reject H0. 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.
Do the coins appear to conform to the specification of the coin mint?
⧠ A. No, since the coins seem to come from a population with a mean weight different from 2.49571g.
⧠ B. No, since the coins seem to come from a population with a mean weight different from 2.5g.
⧠ C. Yes, since the coins do not seem to come from a population with a mean weight different from 2.5g.
⧠ D. Yes, since the coins do not seem to come from a population with a mean weight different from 2.49571g.
⧠ E. The results are inconclusive because individual differences in coin weights need to be analyzed further.
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