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In: Statistics and Probability

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

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?

71

82

40

66

42

22

57

61

64

50

61

71

92

87

65

Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?

A. Upper H0​: u=60 seconds

Upper H1​: μ<60 seconds

B. Upper H0​: μ≠60 seconds

Upper H 1H1​:μ=60 seconds

C. Upper H 0H0​: μ=60seconds

Upper H 1H1​: μ> 60 seconds

D. Upper H 0H0​: μ=60 seconds

Upper H 1H1​: 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.

▼ FAIL TO REJECT / REJECT Upper H 0H0. 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▼ APPEARS / DOES NOT APPEAR ​that, as a​ group, the students are reasonably good at estimating one minute.

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orchestra answered 3 years ago
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