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?
Estimate in sec 53 67 63 55 75 58
a) Write the null and alternative hypotheses.
b) Find critical values.
c) Calculate the test statistic by hand. Show your work, including all calculations.
At the 5% level, does it appear that students are reasonably good at estimating one minute? Explain how you made that decision.