A data set lists earthquake depths. The summary statistics are n= 500, x = 6.79 km, s=4.87 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 6.00. 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: u=6.00 km O B. Ho: u=6.00 km H, u<6.00 km H, u6.00 km OC. Ho u#6.00 km H,=6.00 km O D. Ho u=6.00 km H,>6.00 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. V Ho. There is v evidence conclude that the original claim that the mean of the population of earthquake depths is 6.00 km correct

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A data set lists earthquake depths. The summary statistics are n= 500, x = 6.79 km, s = 4.87 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 6.00. 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?
Ο Α. H0: μ= 6.00 km
Ο Β. Ho: μ= 6.00 km
H,: µ<6.00 km
H,: µ#6.00 km
O C. Ho: µ#6.00 km
H,: µ= 6.00 km
Ο D. H0 : μ= 6.00 km
H,: µ> 6.00 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.
Ho. There is
V evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km
V correct.
Transcribed Image Text:A data set lists earthquake depths. The summary statistics are n= 500, x = 6.79 km, s = 4.87 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 6.00. 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? Ο Α. H0: μ= 6.00 km Ο Β. Ho: μ= 6.00 km H,: µ<6.00 km H,: µ#6.00 km O C. Ho: µ#6.00 km H,: µ= 6.00 km Ο D. H0 : μ= 6.00 km H,: µ> 6.00 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. Ho. There is V evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km V correct.
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