Q5. (35 points) Assume that the sample is a simple random sample, and it is normal. Students of the author 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? 69 81 39 65 42 21 60 63 66 48 64 70 A) Find the null hypothesis and alternative hypothesis in a symbolic form B) Is it a left-tailed test, right tailed test or two tailed tests? What is the significance level? D) Use a formula to find the test statistics E) Use TI 84 and Table A-3 to find P-value (range of P-value) F) Use TI 84 and Table A-3 to find critical value G) State the conclusion about reject Ho or fail to reject Ho. H) Conclusion in word 1) What are the test statistics and P-value from the TI 84? (Hint: you can use the 8 steps to answer this question, remember to answer all the questions)