For parts D and E. assume that the value of 5| is now unknown. D. [4 marks] Paul now decides to collect some data so that he can perform some inference on the unknown 51. He randomly selects 25C! people at the gym and records the amount of time each person could hold the dumb-bell. Among these peopler 44 held the dumb-bell for less than 5.8 minutes, 6? held the dumb-bell for between 5.8 and IE minutes, T4 held the dumb-bell for between ?.E and 1D minutes and ES people were able to hold the dumb- bell for more than 1|} minutes. Based on only this sample data, use an appropriate test to determine whether 5| = 2. Clearly state your hypotheses and use a significance level of or = 5%- E. [4 marks] Paul is not fully convinced of the test in part D and decides to collect more data and perform more inference on 5!. He randomly selects 11 people at the gym and records the amount of time each person could hold the dumbsbell. The total cumulative amount of time that the 11 people held the dumb-bell was 9146 minutes and the sum of the squared 11 times was 3914112 minutesE. Based on only this sample data. use an appropriate test to determine whether 5| = 2. Clearly state your hypotheses and use a significance level of or=1%