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 0.05 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

Answer 1

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

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

H0: mu = 60 sec

Ha: mu not equals 60 sec

Mean diff = 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 null hypothesis

i.e. there is statistical evidence to say that students are reasonably good at estimating one​ minute