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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 signicance 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 reasonany good at estimating one minute? 69 81 39 65 42 21 6t] 63 66 43 64 76 A] Find the null hypothesis and alternative hypothesis in a symbolic arm B] Is it a left-tailed test, right tailed test or two tailed tests? [I] What is the signicance level? D] Use a formula to nd the test statistics E] Use TI 84 and Table 11-3 to nd P-value {range of P-value] F] Use TI 84 and Table A-3 to nd critical value 6] State the conclusion about reject H\" or fail to reject H\". H] Conclusion in word |] What are the test statistics and P-value hour the TI 84'? (Hint: you can use the 8 steps to answer this question, remember to answer all the questions)