Question

In: Statistics and Probability

1. A group of students estimated the length of one minute without reference to a watch...

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

0.05

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?

68

81

37

68

45

25

63

66

69

47

61

72

91

92

64

_____________________

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. (Round to two decimal places as​ needed.)

Determine the​ P-value. ​(Round to three decimal places as​ needed.)

State the final conclusion that addresses the original claim.

" reject " " fail to 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

"does not appear"

"appears"

​that, as a​ group, the students are reasonably good at estimating one minute.

Solutions

Expert Solution

There is sufficient evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds is correct,

It "appears" ​that, as a​ group, the students are reasonably good at estimating one minute.


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