1. [1? p13] A patient's temperature was measured every 10 mins for Mo hours: 3?.05, 3-3, 3?.45, 31?, 3?.4, 32.95. 33.35, 3125. 318, 33.55. 38.95, 3-3.4. 38.15. You can use a mas signicant: level throughout this question. la] We want to know whether the patient has a fever, i.e., temperature higher than 37.5. Answer this question by analyzing the data with a tbest lie. the test based on the assumption of a normal distribution] and R. ii} [1 pt] State your null and alternative hypothesis dearly. [iii [2 pts] Provide your R codes. liii} [2 pts] Draw your conclusion with evidence. [iv] [2 p13] Calculate the power of1e test at a temperature ot 33. lb} Repeat the analysis in {a} without using the assumption of a normal distribution. Ii} [1 pt] State your null and alternative hypothesis clearly. Iii} [2 pts] Provide your R codes. liii} [2 pts] Draw your conclusion with evidence. lc] we want to know if the temperature uctuations are due to the measurement error or other physiological sources. The thermometer we use has a measurement error [standard deviation} oi I125. Answer the question with a statistical analysis, assuming a normal distribution. Ii} [1 pt] State your null and alternative hypothesis clearly. Iii} [2 p13] Provide your R codes. liii} [2 p131 Draw your conclusion with evidence