Students of the author estimated the length of one minute without refer-ence 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? Assume times are normally distributed 69 81 39 65 42 21 60 63 66 48 64 70 96 91 65
a. State the null and alternative hypotheses.
b. Use technology to calculate the test statistic and P- Value. [Put the values in L1 (say). Then go to STAT-一→ TESTS-一→ T-Test → Input: select Data, and complete the rest]
c. Use Critical - Value Method to do the test.
d. Use P-Value Method to do the test.