Statistics Question

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Mathematics

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--- Original copy attached---

.The Always Run battery company advertises that its battery lasts longer than batteries made by other companies.We randomly select five batteries from the latest production run of this company and five batteries from three other battery companies.We test the life of each of the batteries in a standard flashlight.The number of minutes that each battery lasted in presented below.

Always Run

Company A

Company B

Company C

98

94

90

92

92

90

93

86

98

88

92

87

97

88

87

93

94

92

89

92

Conduct a post hoc test to determine which batteries differ.

2.A cognitive psychologist was interested in the ability to solve puzzles.He selected 24 college sophomores and matched them on the basis of IQ and assigned, in groups of four, to one of four puzzle conditions (six blocks of four).He wants to make sure that all the puzzles are equally difficult.The dependent variable was the amount of time it took for a subject to complete the puzzle.The data are presented below.Were there differences in puzzle difficulty at the .05 level?

Puzzle

Block

1

2

3

4

1

23

34

31

40

2

25

38

36

37

3

27

33

30

32

4

28

32

41

38

5

25

36

39

46

6

22

34

40

39

Conduct a post hoc test to determine which puzzles differ from one another.



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Psychology 215 – Basic Statistical Methods – Andrzejewski Problem Set Unit #12 (post hoc on PS Units #10 and 11) 1. The Always Run battery company advertises that its battery lasts longer than batteries made by other companies. We randomly select five batteries from the latest production run of this company and five batteries from three other battery companies. We test the life of each of the batteries in a standard flashlight. The number of minutes that each battery lasted in presented below. Always Run 98 92 98 97 94 Company A 94 90 88 88 92 Company B 90 93 92 87 89 Company C 92 86 87 93 92 Conduct a post hoc test to determine which batteries differ. 2. A cognitive psychologist was interested in the ability to solve puzzles. He selected 24 college sophomores and matched them on the basis of IQ and assigned, in groups of four, to one of four puzzle conditions (six blocks of four). He wants to make sure that all the puzzles are equally difficult. The dependent variable was the amount of time it took for a subject to complete the puzzle. The data are presented below. Were there differences in puzzle difficulty at the .05 level? Puzzle Block 1 2 3 4 5 6 1 23 25 27 28 25 22 2 34 38 33 32 36 34 3 31 36 30 41 39 40 Conduct a post hoc test to determine which puzzles differ from one another. 4 40 37 32 38 46 39
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Explanation & Answer

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Psychology 215 – Basic Statistical Methods – Andrzejewski
Problem Set Unit #12 (post hoc on PS Units #10 and 11)
1.
The Always Run battery company advertises that its battery lasts longer than batteries
made by other companies. We randomly select five batteries from the latest production run of
this company and five batteries from three other battery companies. We test the life of each of
the batteries in a standard flashlight. The number of minutes that each battery lasted in presented
below.
Always Run
98
92
98
97
94

Company A
94
90
88
88
92

Company B
90
93
92
87
89

Company C
92
86
87
93
92

Conduct a post hoc test to determine which batteries differ.

The post hoc analy...


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