I know you dont have the data, more just how to solve the problem and which tests to use

2. (20 points) It is believed that when Pichu evolves into Pikachu, it gains 3.5 kilograms. The column pre_cuolue_weight_kg from the data set records the weights of these Pikachus back when they were Pichus. In this problem, we want to conduct a test to confirm this hypothesis. We shall consider all 100 observations together, disregarding the different origins of the Pikachus. (a) Decide the appropriate test to use in this case. State the null and alternative hypotheses. (b) Examine the distributions of the weights all Pikachus in their current and pre-evolution forms. Do they appear to be approximately normally distributed? Are there any out- liers? Provide the relevant graphs to support your answer. Are all the assumptions for our test satisfied? (c) Calculate the test statistic by hand and use it to find the p-value. Then carefully write out your conclusion. Show all steps of your calculation. You may use Minitab to obtain descriptive statistics of the sample. (d) Construct (by hand) a 95% confidence interval for the difference between the pre- and post-evolution weights of Pikachu. Is this confidence interval consistent with the conclu- sion you obtain in the previous part? Explain. (e) Finally, use Minitab to check your answers in parts (a)-(d) and provide screen shots of Minitab results. 2. (20 points) It is believed that when Pichu evolves into Pikachu, it gains 3.5 kilograms. The column pre_cuolue_weight_kg from the data set records the weights of these Pikachus back when they were Pichus. In this problem, we want to conduct a test to confirm this hypothesis. We shall consider all 100 observations together, disregarding the different origins of the Pikachus. (a) Decide the appropriate test to use in this case. State the null and alternative hypotheses. (b) Examine the distributions of the weights all Pikachus in their current and pre-evolution forms. Do they appear to be approximately normally distributed? Are there any out- liers? Provide the relevant graphs to support your answer. Are all the assumptions for our test satisfied? (c) Calculate the test statistic by hand and use it to find the p-value. Then carefully write out your conclusion. Show all steps of your calculation. You may use Minitab to obtain descriptive statistics of the sample. (d) Construct (by hand) a 95% confidence interval for the difference between the pre- and post-evolution weights of Pikachu. Is this confidence interval consistent with the conclu- sion you obtain in the previous part? Explain. (e) Finally, use Minitab to check your answers in parts (a)-(d) and provide screen shots of Minitab results