A data set lists earthquake depths. The summary statistics are n = 400, x = 6.45 km, s = 4.74 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.
A data set lists earthquake depths. The summary statistics are n = 400, x = 6.45 km, s = 4.74 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Transcribed Image Text:Determine the test statistic.
1.96 (Round to two decimal places as needed.)
Determine the P-value.
.050 (Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Fail to reject Ho. There is not sufficient evidence to conclude that the original claim that the mean of the
population of earthquake depths is 5.00 km is not correct.
Transcribed Image Text:A data set lists earthquake depths. The summary statistics are n = 400, x= 6.45 km, s = 4.74 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: µ= 6.00 km
B. Ho: µ = 6.00 km
H1: µ#6.00 km
H1: µ<6.00 km
O C. Ho: H#6.00 km
H1: µ= 6.00 km
D. Ho: µ = 6.00 km
H1: µ>6.00 km
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