Write-Up 6 Write careful, well-organized, neat, complete sentence answers to the questions and complete, well-organized answers/solutions for these problems and submit them according to the instructions provided on the "Directions for Submitting Written Assignments" page (including those in the "Directions for Writing Mathematics" document that is linked to that page). The "Directions for Submitting Written Assignments" page is housed in the "Orientation to Stats Online" module. Your answers to these questions/problems will be graded on correctness and your ability to communicate your answer. In contrast to the MyLab homework, where it is (only) the correctness of the answer you submit that is evaluated, it is your communication of the process, as well as the correctness of the mathematics, that is what is being evaluated on these assignments. Always show your steps and/or explain your thoughts and reasoning clearly. Simply writing the correct answers to computational problems without showing how you arrived at them will earn a very small number of points. Full credit will not be earned, even for correct answers, if the answer is not fully supported and you have followed all directions. Write (or type) neatly. Do not cross out errors... erase them. If you find yourself erasing extensively, stop and start again on a fresh page. If you choose to use a pen, do not scribble things out. In applied problems (a.k.a. word problems), you must define every variable you introduce (include the units of measurement where relevant). Answer every applied problem with a complete sentence that answers the question. Clearly indicate your final answers for all problems. FOLLOW ALL DIRECTIONS Use the tools we have learned in this class to address the problems in this assessment. Aldo had established a mean time of 16.43 seconds for running the 150-meter race, with a standard deviation of 0.8 seconds. His coach thought dad thought that Aldo could swim the 150-meter race faster if shaved his legs and arms. So, Aldo shaved his legs and arms and his coach timed Aldo in 42 randomly selected 150-meter races. For these 42 races, Aldo's mean time was 16.0 seconds. Did running with shaved legs and arms help Aldo run significantly faster? Justify your answer with statistical evidence. [2 pts] 1. What are the null and alternative hypotheses? Use the appropriate symbols to write each. 12 pts] 2. All of the requisite conditions that must be met in order to perform a hypothesis test for a mean (Randomization, Independence, 10% Condition, Sufficiently Large Sample Size) are met in this problem (I invite you to verify this, but do not submit this analysis). Use technology to compute the P-Value; report your answer with at least four digits after the decimal point. Include a photo or screenshot or snip of the technology's output and state the name of the technology employed. 12 pts] 3. If you decide to perform this hypothesis test at the 1% level of significance, should you reject the null hypothesis you stated in part (a)? Why or why not? Your conclusion here should only be about whether you would reject the null hypothesis, or not. 12 pts] 4. What does your answer in question 3 mean in terms of whether-or-not Did running with shaved legs and arms help Aldo run significantly faster? 12 pts] 5. If the turns-out that, in reality, the Aldo's mean 150-meter race time is 15.9 seconds has either a Type I or Type II error been made with the conclusions in questions 3 and 4? If so, tell which kind of error (Type I or Type II) has been made and explain why; if no error has been made, explain why