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).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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

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
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
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  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? 

h) Provide the decision rule of the test.

i) Decision: ________________ 

j) Conclusion

 

Solution
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Follow-up Question

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? 

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

e) The level of significance is ___________

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

Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

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? 

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

 
Solution
Bartleby Expert
SEE SOLUTION
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