A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are list

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A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are list

ed 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? 70 79 38 63 44 23 62 61 67 50 61 70 94 87 65

Mathematics

1 answer:

Svet_ta [12.7K] · Answer 1 · 2026-03-11T12:11:34+03:00

Answer:

Step-by-step explanation:

A cohort of students estimated the duration of one minute without consulting a clock or watch, and the recorded times (in seconds) are as follows:

Data set comprises:

70 79 38 63 44 23 62 61 67 50 61 70 94 87 65

$Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714$

H0: mu = 60 sec

Ha: mu not equals 60 sec

Mean difference = 2.27

$Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714$

Test statistic = 2.27/SE =0.4815

p-value =0.6376

Since p>0.05, we accept the null hypothesis

that is, there is statistical evidence suggesting that students are fairly accurate at estimating one minute.

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are list

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are list