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
0.050.05
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?
6767 |
8383 |
4141 |
6666 |
3939 |
2626 |
6161 |
6161 |
6767 |
5050 |
6666 |
7373 |
9191 |
8787 |
6464 |
What are the null and alternative hypotheses?
A.
Upper H 0H0:
muμequals=6060
seconds
Upper H 1H1:
muμnot equals≠6060
seconds
B.
Upper H 0H0:
muμnot equals≠6060
seconds
Upper H 1H1:
muμequals=6060
seconds
C.
Upper H 0H0:
muμequals=6060
seconds
Upper H 1H1:
muμless than<6060
seconds
D.
Upper H 0H0:
muμequals=6060
seconds
Upper H 1H1:
muμgreater than>6060
seconds
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.
▼
Reject
Fail to reject
Upper H 0H0.
There is
▼
not sufficient
sufficient
evidence to conclude that the original claim that the mean of the population of estimates is
6060
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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