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 0.01 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?   80 89 51 72 51 36 66 72 78 55 74 81 104 101 76   Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?     A. H0​: μ=60 seconds H1​: μ<60 seconds   B. H0​: μ=60 seconds H1​: μ>60 seconds   C. H0​: μ≠60 seconds H1​: μ=60 seconds   D. H0​: μ=60 seconds H1​: μ≠60 seconds Determine the test statistic.     Determine the​ P-value.   State the final conclusion that addresses the original claim.     Fail to reject Reject H0. There is   sufficient not sufficient evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds   is is not correct. It   appears does not appear ​that, as a​ group, the students are reasonably good at estimating one minute

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 13PPS
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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
0.01
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?
 
80
89
51
72
51
36
66
72
78
55
74
81
104
101
76
 
Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?
 
 
A.
H0​:
μ=60
seconds
H1​:
μ<60
seconds
 
B.
H0​:
μ=60
seconds
H1​:
μ>60
seconds
 
C.
H0​:
μ≠60
seconds
H1​:
μ=60
seconds
 
D.
H0​:
μ=60
seconds
H1​:
μ≠60
seconds
Determine the test statistic.
 
 
Determine the​ P-value.
 
State the final conclusion that addresses the original claim.
 
 
Fail to reject
Reject
H0.
There is
 
sufficient
not sufficient
evidence to conclude that the original claim that the mean of the population of estimates is
60
seconds
 
is
is not
correct. It
 
appears
does not appear
​that, as a​ group, the students are reasonably good at estimating one minute.
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