(Solved): Please solve this showing the steps and calculations. Please do not use R or excel to solve thi ...

Please solve this showing the steps and calculations. Please do not use R or excel to solve this.

Problem 2. Our bodies have a natural electrical field that is known to help wounds heal. Does changing the field strength slow healing? A series of experiments with 14 randomly selected newts investigated this question. The data below are the healing rates of cuts (micrometers per hour) in a matched pairs experiment. The pairs are the two hind limbs of the same newt, with the body's natural field in one limb (control) and half the natural value in the other limb (experimental). The sample mean and sample standard deviation of the difference (control -experimental are 5.7143 and 10.5643 , respectively. It can be shown that the difference follows a normal distribution approximately. Is there statistically significant evidence that changing the electrical field from its natural level slows healing at 0.05 level of significance? a) Formulate null and alternative hypotheses of your test in terms of the population parameter as well as the context of this application to address the questions. b) Determine the rejection region of your test in terms of the sample mean difference of healing rates (control - experimental) and make your conclusion based on the given data. c) Find the P-value of your test, interpret your P-value in the context of this application, and make your conclusion.