2) The distance in meters that a shoe can be used before first signs of wearing appears on it is taken from two samples of two top types of shoes from a brand. The chain wants to use this data to test the research (alternative) hypothesis that the mean distance for type 1 is lower than that of type 2. (4 marks) I Type 1 (in meters) 250 367 181 299 185 111 192 283 225 Type 2 (in meters) 279 302 257 255 229 271 278 317 3) Data given below shows the tips awarded to the servants in different areas of a restaurant. A servant has asked the manager to change their area table as they think it is unfair to them staying in the low tip area. Does the data provide any evidence for the difference of tip averages amongst the three area tables? Test at 0.1 level of significance. (3 marks) 1 2 3 20 25 30 40 Area table tips day1 tips day2 tips day3 tips day tips day5 tips day 30 35 35 20 40 55 30 15 45 55 30 28 19 60