Instruction: Determine the appropriate test and apply the steps/procedure in hypothesis testing which leads to decisions of either accepting or rejecting some statements about the population. An avid...




Instruction: Determine the appropriate test and apply the steps/procedure in hypothesis testing which leads to decisions of either accepting or rejecting some statements about the population.




  1. An avid Mobile Legends player claims that he wins more when using SUPPORT heroes compared with other heroes. A classmate tested his claim by randomly selecting 10 heroes per role and recorded his win rates per hero. The data collected is listed below (see attached photo).


Is there sufficient evidence for the claim of the player to be true at 5% level of significance?



a) In words, Y =___________.


b) In words, yij = _________________.


c) Null Hypothesis


d) Alternative Hypothesis


e) The level of significance is ___________


f) Determine the test statistic using the data (show solution).


g) Set up the ANOVA Table:


































Source of Variation

Sum of Squares

df

MS

F-statistic
Between
Within
Total

h) Provide the decision rule of the test.


i) Decision: ________________


j) Conclusion






Transcribed Image Text:TANK FIGHTER ASSASSIN MAGE MARKSMEN SUPPORT 44.08 38.64 66.22 58.44 54.72 43.17 36.43 41.96 76.17 65.34 41.30 48.36 63.75 39.59 62.01 47.21 38.80 61.06 54.32 46.99 39.37 45.75 68.06 64.68 42.17 73.83 32.00 67.48 68.57 49.28 44.78 50.17 47.75 55.55 29.73 64.49 54.99 42.04 33.52 49,57 50.48 48.21 49.52 37.44 58.36 51.61 42.45 46.06 71.91 46.42 35,44 65.53 68.95 49.78 44.39 75.65 54.89 40.40 59.87 39.80

An avid Mobile Legends player claims that he wins more when using SUPPORT heroes<br>compared with other heroes. A classmate tested his claim by randomly selecting 10 heroes per<br>role and recorded his win rates per hero. The data collected is listed below.<br>TANK<br>FIGHTER<br>ASSASSIN<br>MAGE<br>MARKSMEN SUPPORT<br>44.08<br>38.64<br>66.22<br>58.44<br>54.72<br>43.17<br>36.43<br>41.96<br>76.17<br>65.34<br>41.30<br>48.36<br>63.75<br>39.59<br>62.01<br>47.21<br>38.80<br>61.06<br>54.32<br>46.99<br>39.37<br>45.75<br>68.06<br>64.68<br>42.17<br>73.83<br>32.00<br>67.48<br>68.57<br>49.28<br>44.78<br>50.17<br>47.75<br>55.55<br>29.73<br>64.49<br>54.99<br>42.04<br>33.52<br>49.57<br>50.48<br>48.21<br>49.52<br>37.44<br>58.36<br>51.61<br>42.45<br>46.06<br>71.91<br>46.42<br>35.44<br>65.53<br>68.95<br>49.78<br>44.39<br>75.65<br>54.89<br>40.40<br>59.87<br>39.80<br>Is there sufficient evidence for the claim of the player to be true at 5% level of significance?<br>

Extracted text: An avid Mobile Legends player claims that he wins more when using SUPPORT heroes compared with other heroes. A classmate tested his claim by randomly selecting 10 heroes per role and recorded his win rates per hero. The data collected is listed below. TANK FIGHTER ASSASSIN MAGE MARKSMEN SUPPORT 44.08 38.64 66.22 58.44 54.72 43.17 36.43 41.96 76.17 65.34 41.30 48.36 63.75 39.59 62.01 47.21 38.80 61.06 54.32 46.99 39.37 45.75 68.06 64.68 42.17 73.83 32.00 67.48 68.57 49.28 44.78 50.17 47.75 55.55 29.73 64.49 54.99 42.04 33.52 49.57 50.48 48.21 49.52 37.44 58.36 51.61 42.45 46.06 71.91 46.42 35.44 65.53 68.95 49.78 44.39 75.65 54.89 40.40 59.87 39.80 Is there sufficient evidence for the claim of the player to be true at 5% level of significance?
Jun 08, 2022
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