A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?   77 92 47 71 49 31 72 73 74 60 72 77 103 96 73   Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?     A. H0​:μ=60seconds H1​:μ<60seconds   B. H0​:μ=60seconds H1​:μ>60seconds   C. H0​:μ=60seconds H1​:μ≠60seconds   D. H0​:μ≠60seconds H1​:μ=60seconds       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.

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A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a
0.10
significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?
 
77
92
47
71
49
31
72
73
74
60
72
77
103
96
73
 
Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?
 
 
A.
H0​:μ=60seconds
H1​:μ<60seconds
 
B.
H0​:μ=60seconds
H1​:μ>60seconds
 
C.
H0​:μ=60seconds
H1​:μ≠60seconds
 
D.
H0​:μ≠60seconds
H1​:μ=60seconds
 
 
 
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.
 
 
Fail to reject OR
Reject
H0.
There is
 
sufficient OR
not sufficient
evidence to conclude that the original claim that the mean of the population of estimates is
60
seconds
 
is OR
is not
correct. It
 
does not appear OR
appears
​that, as a​ group, the students are reasonably good at estimating one minute.
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