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?

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Chapter1: Starting With Matlab
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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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