data set lists earthquake depths. The summary statistics are n=500​, x=4.39km, s=4.61 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

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A data set lists earthquake depths. The summary statistics are n=500​, x=4.39km, s=4.61 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

31. A data set lists earthquake depths. The summary statistics are n = 500, x=4.39 km, s = 4.61 km. Use a 0.01 significance level to test the claim of a seismologist that
these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and
alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
O A. Ho: μ#4.00 km
H₁: μ = 4.00 km
OC. Ho: μ = 4.00 km
H₁: μ> 4.00 km
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
(1).
correct.
(1)
. Hō. There is (2)
Fail to reject
O Reject
not sufficient
sufficient
O B. Ho: μ =4.00 km
H₁: μ< 4.00 km
is
O is not
O D. Ho: μ =4.00 km
H₁: μ#4.00 km
evidence to conclude that the mean of the population of earthquake depths is 4.00 km (3).
Transcribed Image Text:31. A data set lists earthquake depths. The summary statistics are n = 500, x=4.39 km, s = 4.61 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: μ#4.00 km H₁: μ = 4.00 km OC. Ho: μ = 4.00 km H₁: μ> 4.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. (1). correct. (1) . Hō. There is (2) Fail to reject O Reject not sufficient sufficient O B. Ho: μ =4.00 km H₁: μ< 4.00 km is O is not O D. Ho: μ =4.00 km H₁: μ#4.00 km evidence to conclude that the mean of the population of earthquake depths is 4.00 km (3).
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