An education minister would like to know whether students at Gedrassi high school on average perform better at English or at Madlemacs. Denoting by \"1 the mean score for all Gedrassi students in a standardized English exam and H2 the mean score for all Gedrassi students in a standardized Hathemacs exam, the minister would like to get a 95% condence interval estimate for the difference between the means: ul U:- A study was conducted where many students were given a standardized English exam and a standardized Mathematics exam and their pairs of scores were recorded. Unfortunately, most of the data has been misplaced and die minister only has access to scores for 4 students. Student English Mathematics Student 1 7? 74 Student 2 76 78 Student 3 74 75 Student 4 78 75 The populations of test scores are assumed to be normally distributed. The minister decides to construct the condence interval with these 4 pairs of data points. This Student's t distribution table may assist you in answering the following questions. a) Calculate the lower bound for the condence interval. Give your answer to 3 decimal places. Lower bound = \\:| b) Calculate the upper bound for the condence interval. Give your answer to 3 decimal places Upper bound = \\:| An assistant claims mat there is no difference between the average English score and the average Math score for a student at Bedrassi high school. c) Based on the condence interval the minister constructs, the claim by the assistant be ruled out