truction:  Determine the appropriate test and apply the steps/procedure in hypothesis testing which leads to decisions of either acceptin

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 5E
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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

 
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
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?
Transcribed Image 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?
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