Students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Assume that a simple random sample has been selected. Use a 0.05 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?   70 81 40 66 44 22 62 61   65 48 64 68 98 91 67       Perform the test assuming that the requirements are met. Identify the null and alternative hypotheses.   H0​: ▼   sigmaσ muμ pp ▼   less than< greater than> not equals≠ equals= enter your response here H1​: ▼   sigmaσ pp muμ ▼   equals= less than< greater than> not equals≠ enter your response here ​(Type integers or decimals. Do not​ round.) Part 2 Identify the test statistic.   enter your response here ​(Round to two decimal places as​ needed.) Part 3 Identify the​ P-value.   enter your response here ​(Round to three decimal places as​ needed.) Part 4 State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Decide whether it appears that students are reasonably good at estimating one minute.   ▼   Fail to reject Accept Reject the null hypothesis. There ▼   is not is sufficient evidence at the 0.05 significance level to ▼   support warrant rejection of the claim that the times are from a population with a mean equal to 60 ​seconds; on this basis it ▼   does not appear appears that as a group the students are reasonably good at estimating one minute.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Assume that a simple random sample has been selected. Use a
0.05
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?
 
70
81
40
66
44
22
62
61
 
65
48
64
68
98
91
67
 
 
 
Perform the test assuming that the requirements are met. Identify the null and alternative hypotheses.
 
H0​:
 
sigmaσ
muμ
pp
 
less than<
greater than>
not equals≠
equals=
enter your response here
H1​:
 
sigmaσ
pp
muμ
 
equals=
less than<
greater than>
not equals≠
enter your response here
​(Type integers or decimals. Do not​ round.)
Part 2
Identify the test statistic.
 
enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value.
 
enter your response here
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Decide whether it appears that students are reasonably good at estimating one minute.
 
 
Fail to reject
Accept
Reject
the null hypothesis. There
 
is not
is
sufficient evidence at the
0.05
significance level to
 
support
warrant rejection of
the claim that the times are from a population with a mean equal to
60
​seconds; on this basis it
 
does not appear
appears
that as a group the students are reasonably good at estimating one minute.
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