A data set lists earthquake depths. The summary statistics are nequals=500500​, x overbarxequals=6.726.72 ​km, sequals=4.314.31 km. Use a 0.010.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.006.00. 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?     A. Upper H 0H0​: muμequals=6.006.00 km Upper H 1H1​: muμless than<6.006.00 km   B. Upper H 0H0​: muμequals=6.006.00 km Upper H 1H1​: muμnot equals≠6.006.00 km   C. Upper H 0H0​: muμnot equals≠6.006.00 km Upper H 1H1​: muμequals=6.006.00 km   D. Upper H 0H0​: muμequals=6.006.00 km Upper H 1H1​: muμgreater than>6.006.00 km Determine the test statistic.   nothing ​(Round to two decimal places as​ needed.) Determine the​ P-value.   nothing ​(Round to three decimal places as​ needed.) State the final conclusion that addresses the original claim.   ▼     Upper H 0H0. There is ▼   Thank you, please help me figure this one out.    evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.006.00 km ▼     correct.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A data set lists earthquake depths. The summary statistics are
nequals=500500​,
x overbarxequals=6.726.72
​km,
sequals=4.314.31
km. Use a
0.010.01
significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to
6.006.00.
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?
 
 
A.
Upper H 0H0​:
muμequals=6.006.00
km
Upper H 1H1​:
muμless than<6.006.00
km
 
B.
Upper H 0H0​:
muμequals=6.006.00
km
Upper H 1H1​:
muμnot equals≠6.006.00
km
 
C.
Upper H 0H0​:
muμnot equals≠6.006.00
km
Upper H 1H1​:
muμequals=6.006.00
km
 
D.
Upper H 0H0​:
muμequals=6.006.00
km
Upper H 1H1​:
muμgreater than>6.006.00
km
Determine the test statistic.
 
nothing
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
nothing
​(Round to three decimal places as​ needed.)
State the final conclusion that addresses the original claim.
 
 
 
Upper H 0H0.
There is
 
Thank you, please help me figure this one out. 
 
evidence to conclude that the original claim that the mean of the population of earthquake depths is
6.006.00
km
 
 
correct.
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