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? 70 79 38 63 44 23 62 61 67 50 61 70 94 87 65
Accepted Solution
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Answer:Step-by-step explanation: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.Data set is as ollows:70 79 38 63 44 23 62 61 67 50 61 70 94 87 65[tex]Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714[/tex]H0: mu = 60 secHa: mu not equals 60 secMean diff = 2.27[tex]Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714[/tex]Test statistic = 2.27/SE =0.4815p value =0.6376Since p>0.05, we accept null hypothesis i.e. there is statistical evidence to say that students are reasonably good at estimating one minute