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 36 coins was collected. Those coins have a mean weight of 2.49565 g and a standard deviation of 0.01524 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?

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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
36
coins was collected. Those coins have a mean weight of
2.49565
g and a standard deviation of
0.01524
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?
 
 
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 36 coins was collected. Those coins have a mean weight of 2.49565 g and a standard deviation of 0.01524 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?
Ο Α. Η0: μ= 2.5 g
в. Но: и32.5 g
H1: µ<2.5 g
H1: u#2.5 g
O D. Ho: µ#2.5 g
O C. Ho: H=2.5 g
Η: μ2 2.5 g
H,: µ=2.5 g
Identify the test statistic.
t= - 1.713 (Round to three decimal places as needed.)
Identify the P-value.
The P-value is
(Round to four decimal places as needed.)
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 36 coins was collected. Those coins have a mean weight of 2.49565 g and a standard deviation of 0.01524 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? Ο Α. Η0: μ= 2.5 g в. Но: и32.5 g H1: µ<2.5 g H1: u#2.5 g O D. Ho: µ#2.5 g O C. Ho: H=2.5 g Η: μ2 2.5 g H,: µ=2.5 g Identify the test statistic. t= - 1.713 (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.)
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