Above are the results for PGA Championship. Assuming that all the scores are normally distributed, the following hypothesis testing is conducted as below. (Use hypothesis test: parametric test for each one). Significance level is 0.05 and 0.01.

1. Investigate if the China players mean scores are the same as European players mean scores for each given rounds ( Round 3 & 4) and total scores (Par & Total).
2. Investigate if European players mean scores are the same as the mean scores for players who are from other parts of the world for each given rounds ( Round 3 & 4) and total scores (Par & Total).
3. Investigate if 10 worst China players mean scores are more than European players mean scores for each given rounds ( Round 3 & 4) and total scores (Par & Total).
4. Investigate if the 10 best China players mean scores are more than mean scores of players not from China and not form European for each given rounds ( Round 3 & 4) and total scores (Par & Total).

If lack any information please state it clearly. Dont just say lack info. Thank you.

* * No TOTAL PAR Round 3 Round 4 TOTAL SCORE 1 US -11 69 66 276 2 US - 10 70 71 280 3 -9 71 72 281 Japan China 4 -8 72 69 282 5 -7 72 72 282 Spain Australia 6 -6 70 7 Japan -5 71 282 283 284 England -4 8 9 70 Canada -3 68 284 72 74 0 Australia -3 73 285 11 -3 74 72 285 12 England Japan China -3 70 70 285 13 -3 74 75 286 14 China -2 72 70 286 15 Korea -2 71 74 286 16 Scotland -2 74 77 286 17 -1 69 74 286 18 China England US -1 71 74 287 19 -1 73 69 287 20 73 71 287 21 Mexico China Ireland 0 0 0 74 76 287 22 71 287 72 75 23 China 0 75 287 24 China 0 73 75 288 25 0 75 72 288 26 1 73 71 289 27 1 75 75 289 28 1 74 72 289 29 1 76 73 289 30 1 72 76 289 31 1 74 74 289 32 2 72 73 289 Norway England US England South Africa US Australia France South Africa China England England China Scotland China South Africa 33 2 75 72 289 34 2 72 78 35 2 76 73 36 2 74 71 290 290 290 290 290 37 3 76 75 38 3 74 72 39 3 73 71 291 40 3 70 74 291 41 US 4 73 75 292 42 4 77 292 74 76 43 4 72 292 44 5 75 75 292 45 5 74 292 Colombia Canada Chile Austria China Norway England China 46 5 73 74 76 75 47 6 76 293 293 293 295 48 6 74 73 49 7 77 71 * * No TOTAL PAR Round 3 Round 4 TOTAL SCORE 1 US -11 69 66 276 2 US - 10 70 71 280 3 -9 71 72 281 Japan China 4 -8 72 69 282 5 -7 72 72 282 Spain Australia 6 -6 70 7 Japan -5 71 282 283 284 England -4 8 9 70 Canada -3 68 284 72 74 0 Australia -3 73 285 11 -3 74 72 285 12 England Japan China -3 70 70 285 13 -3 74 75 286 14 China -2 72 70 286 15 Korea -2 71 74 286 16 Scotland -2 74 77 286 17 -1 69 74 286 18 China England US -1 71 74 287 19 -1 73 69 287 20 73 71 287 21 Mexico China Ireland 0 0 0 74 76 287 22 71 287 72 75 23 China 0 75 287 24 China 0 73 75 288 25 0 75 72 288 26 1 73 71 289 27 1 75 75 289 28 1 74 72 289 29 1 76 73 289 30 1 72 76 289 31 1 74 74 289 32 2 72 73 289 Norway England US England South Africa US Australia France South Africa China England England China Scotland China South Africa 33 2 75 72 289 34 2 72 78 35 2 76 73 36 2 74 71 290 290 290 290 290 37 3 76 75 38 3 74 72 39 3 73 71 291 40 3 70 74 291 41 US 4 73 75 292 42 4 77 292 74 76 43 4 72 292 44 5 75 75 292 45 5 74 292 Colombia Canada Chile Austria China Norway England China 46 5 73 74 76 75 47 6 76 293 293 293 295 48 6 74 73 49 7 77 71