Statistics- You are in charge of a new study on the effect

1- (4 pts) You are in charge of a new
study on the effect of caffeine and memory. From , a previous pilot study , you
find that the effect size is 0.6 . You want to have a type I error at 0.05 and
a type II error of 0.2 . In your study you split your sample in two independent
groups of equal size ( control : no caffeinated ; Experimental : with caffeine)
.
How many people in total will you need
to recruit ?

2- ( 9 pts) Invent a
fictional study where you have to decide if a group is better than the other.
The significance level was set at 5% . Both groups are independent of one
another .Show your reasoning

Grp 1

Grp 2

Subject

Result

Subject

Result

S1

46.0

S13

44.0

S2

51.6

S14

48.9

S3

59.4

S15

41.9

S4

55.8

S16

53.9

S5

57.8

S17

44.9

S6

47.3

S18

44.7

S7

53.5

S19

39.5

S8

56.6

S20

47.3

S9

45.7

S21

46.7

S10

43.1

S22

44.9

S11

50.5

S23

55.2

S12

46.3

3-
(9 pts) Data from a study on the number of weeks of practice the cha -cha-cha
and the number of times per minute as our partner we walk on the feet are shown
in the following table .

Subject

Nb. week

Nb
. of times one has walk all over

S1

2

4

S2

5

3

S3

4

0

S4

0

6

S5

4

4

S6

1

10

S7

5

1

A)
Following these comments , Is it worth it to take dance lessons? (Do not forget
to include a graph)
B) After 8 weeks of practice , what is the predicted score.0/msohtmlclip1/01/clip_image002.gif”>?

4-
( 9 pts) You drive a study on the effect of a new ABC revolutionary way to
increase memory performance in humans. To verify the effectiveness of this
method, you have selected 12 subjects randomly drawn from a normally
distributed population . At first , you measured the mnemonic performance
issues on a routine task of nonsense words encoding for a period of 30 minutes
. You recorded the performance of the subjects in the pretest column. Later,
you have taught the new method to topics mnemonic ABC . Finally, to verify the
effectiveness of the ABC method , you are re-measured performance subject to
the same type of encoding task. The performance of subjects were then encoded
in the post- test column .

Subject

before-test

after-test

1

64

67

2

44

47

3

48

55

4

47

64

5

41

37

6

50

66

7

32

41

8

41

53

9

60

57

10

43

43

11

56

49

12

56

70

now you want to know if the ABC method is effective for a significance level of 5%5- (6 pts) In a study on the role of music and the growth of tomato plants you planted 80 tomato plants. Half the plants grew without music, while the other half grew up with music. When the plants have reached full maturity you’ve measured and you got as average of 100 cm and 102 cm for the group without the group with music and music respectively. In addition, you have calculated the standard deviations of the two groups that are 9 cm for the group without music and 11 cm for the group with music. 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