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?
PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC.
1)
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?
78, 90, 49, 75, 52, 30, 69, 72, 76, 54, 75, 76, 105, 101, 71
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
2)
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
3)
State the final conclusion that addresses the original claim.
(OPTION 1-Reject, OPTION 2- Fail to reject) Ho. There is (OPTION 1-sufficient, OPTION 2-not sufficient) evidence to conclude that the mean of the population of estimates is 60 seconds (OPTION 1- is, OPTION 2-is not) correct. It (OPTION 1-appears, OPTION 2-does not appear) that, as a group, the students are reasonably good at estimating one minute.
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