1. A study examined the sense of direction of 30 male and 30 female students. After being taken to an unfamiliar wooded park. the students were given some spatial orientation tests, including pointing south, which tested their absolute frame of reference. The students pointed by moving a pointer attached to a 360 protractor. Following are the absolute pointing errors, in degrees, of the participants. Mlle Fun-II [3 I30 39 33 IO 8 20 3 138 I3 68 18 3 ll 78 69 Ill 3 38 23 60 5 9 31 18 35 111 59 5 86 2'2 70 36 2? 32 35 $8 3 167 15 JD 27 II 3 B0 8 20 61 26 I9 68 66 I76 [5 The data (which is also presented in Question 2. of Part A) are provided in the data file A5_Direction_Q2.xlsx and A5_Direction_Q2_TwocoIumn.xlsx. Import the data into R commander and complete the following tasks. For each. you need to copy or take a screenshot of the output in R commander (we also refer to this output as computer output) and submit it with your solutions to each question. To save space. you only need to copy and paste what is asked for in the questions and should adjust the size of the image when appropriate. (a) Use the proper graphical tools in R and R commander to assess whether it is reasonable to apply the procedure you chose in Question 2. of Part A. Make sure to write down the assumptions of the procedure and address whether every assumption is satisfied. (5 marks) (b) Use R commander to determine if there is evidence at the 1% significance level that males have a better sense of direction than females. on average. Make sure to include all six components of a hypothesis test. Compare your answer from R commander to the one you obtained by hand in Question 2. Part A. (5 marks) Note: R commander uses Female-Male by default. pay attention to this when you set up the hypotheses. (c) Obtain and interpret a 98% twosided confidence interval for the difference between the mean absolute pointing errors for males and females. Compare this interval to the one you calculated by hand in Question 2. (c) of Part A. (2 marks)