For a local basketball league, there were 10 teams whose players were assigned to a team based on their score on an abilities test. Those results are given below. Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7 Team 8 Team 9 Team 10 87 98 103 105 90 108 94 108 97 109 81 91 80 87 78 91 82 89 90 87 70 85 78 77 77 77 76 76 86 76 64 82 77 74 72 67 75 72 73 69 63 76 64 62 70 60 66 66 69 68 62 56 63 57 64 58 62 63 66 67 56 48 55 56 57 54 55 51 58 57 55 44 48 53 52 53 49 49 50 56 52 42 42 47 39 47 46 46 48 56 40 44 The summary statistics are: SUMMARY Groups Count Sum Average Variance Team 1 9 590 65.55556 140.7778 Team 2 9 622 69.11111 470.3611 Team 3 9 610 67.77778 354.4444 Team 4 9 618 68.66667 351.25 Team 5 9 599 66.55556 237.5278 Team 6 9 615 68.33333 404.5 Team 7 9 605 67.22222 254.1944 Team 8 9 620 68.88889 409.6111 Team 9 10 677 67.7 365.1222 Team 10 10 689 68.9 342.7667 A. From just looking at the summary data, what conclusions might you draw? (You may want to talk about average and/or variance) B. Here is the ANOVA Table ANOVA Source of Variation SS df MS F P-value F crit Between Groups 109.3514 9 12.15016 0.036425 0.999994 1.996141 Within Groups 27352.33 82 333.565 Total 27461.68 91 What conclusion is supported by the ANOVA analysis?
For a local basketball league, there were 10 teams whose players were assigned to a team based on their score on an abilities test. Those results are given below.
|
Team 1 |
Team 2 |
Team 3 |
Team 4 |
Team 5 |
Team 6 |
Team 7 |
Team 8 |
Team 9 |
Team 10 |
|
87 |
98 |
103 |
105 |
90 |
108 |
94 |
108 |
97 |
109 |
|
81 |
91 |
80 |
87 |
78 |
91 |
82 |
89 |
90 |
87 |
|
70 |
85 |
78 |
77 |
77 |
77 |
76 |
76 |
86 |
76 |
|
64 |
82 |
77 |
74 |
72 |
67 |
75 |
72 |
73 |
69 |
|
63 |
76 |
64 |
62 |
70 |
60 |
66 |
66 |
69 |
68 |
|
62 |
56 |
63 |
57 |
64 |
58 |
62 |
63 |
66 |
67 |
|
56 |
48 |
55 |
56 |
57 |
54 |
55 |
51 |
58 |
57 |
|
55 |
44 |
48 |
53 |
52 |
53 |
49 |
49 |
50 |
56 |
|
52 |
42 |
42 |
47 |
39 |
47 |
46 |
46 |
48 |
56 |
|
40 |
44 |
The summary statistics are:
|
SUMMARY |
||||
|
Groups |
Count |
Sum |
Average |
Variance |
|
Team 1 |
9 |
590 |
65.55556 |
140.7778 |
|
Team 2 |
9 |
622 |
69.11111 |
470.3611 |
|
Team 3 |
9 |
610 |
67.77778 |
354.4444 |
|
Team 4 |
9 |
618 |
68.66667 |
351.25 |
|
Team 5 |
9 |
599 |
66.55556 |
237.5278 |
|
Team 6 |
9 |
615 |
68.33333 |
404.5 |
|
Team 7 |
9 |
605 |
67.22222 |
254.1944 |
|
Team 8 |
9 |
620 |
68.88889 |
409.6111 |
|
Team 9 |
10 |
677 |
67.7 |
365.1222 |
|
Team 10 |
10 |
689 |
68.9 |
342.7667 |
A. From just looking at the summary data, what conclusions might you draw? (You may want to talk about average and/or variance)
B. Here is the ANOVA Table
|
ANOVA |
||||||
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
109.3514 |
9 |
12.15016 |
0.036425 |
0.999994 |
1.996141 |
|
Within Groups |
27352.33 |
82 |
333.565 |
|||
|
Total |
27461.68 |
91 |
|
|
|
|
What conclusion is supported by the ANOVA analysis?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
