Question

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?

68

80

37

66

42

23

62

62

65

49

63

69

90

88

65

Answer 1

Solution:-

Given that

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?

68

80

37

66

42

23

62

62

65

49

63

69

90

88

65

Null Hypothesis

Alternative Hypothesis

As the population s.d is unknown here we will use t distribution to conduct the test

Test statistics

t = 0.408

Degrees of freedom is = n - 1 = 14

For 14 dof and 0.408 test statistics

P-value from t distribution is 0.645

As 0.645 > 0.1 (Given significance)

We fail to reject the null hypothesis .

So we have enough evidence to support the claim that mean is 60.

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