c] Return to the dataset "Schoollililxlsx" Compute and interpret a 99% condence interval for mean grammar scores. Does the interval provide evidence that the average grammar score differs from 11215 on aptitude tests at British Schools? Explain. [5 marks] d] Did you reach the same conclusion in part b] and in part c]? Explain your answer. [2 marks] 2. This question uses datasets examined in Question 1. You may reference work from Question 1 when deciding what test to perform. For each hypothesis test, provide a full write-up that includes your hypotheses, level of significance, statement and discussion of the assumptions, test statistic, p-value, decision, and conclusion. Use R commander to obtain the relevant output needed to complete the test. a] Return to the dataset "Beer21.xlsx." Test if the mean ABV of beer is greater than 0.05 in the United States. Use a significance level of 2%. (7 marks) b) Return to the dataset "School100.xlsx." Test if average grammar scores differ from 105 on aptitude tests at British schools. Use a significance level of 1%. (7 marks)