2. A new pill is touted to improve the memory retention capability of teenagers aging 13 to 16 years old. To test this claim, twenty teenagers of the same age range are randomly picked to read the first two chapters of the book "Harry Potter and the Philosopher's Stone" after which they are asked to enumerate the number of verbs they remember from those chapters. Then they are given the new pill to be taken once daily for 7 days. At the end of 7 days, they are asked to read the same two chapters and enumerate the number of verbs they remember. The results are tabulated below: Number of verbs remembered Number of verbs remembered Тeen before taking the pill (X1) after taking the pill (X2) 1 6 7 10 9. 3 14 15 4 7 8. 12 6. 4 10 7 7 8 3 9. 9. 9. 10 10 10 12 11 12 9. 13 4 10 14 8. 15 9. 13 16 6. 9. 17 11 13 18 7 19 9. 20 8

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2. A new pill is touted to improve the memory retention capability of teenagers aging 13 to 16 years old. To test this
claim, twenty teenagers of the same age range are randomly picked to read the first two chapters of the book "Harry
Potter and the Philosopher's Stone" after which they are asked to enumerate the number of verbs they remember
from those chapters. Then they are given the new pill to be taken once daily for 7 days. At the end of 7 days, they
are asked to read the same two chapters and enumerate the number of verbs they remember. The results are
tabulated below:
Number of verbs remembered
Number of verbs remembered
Тeen
before taking the pill (X1)
after taking the pill (X2)
1
6.
7
10
3
14
15
4
7
9.
8
12
4
10
7
5
7
8
3
9.
9
9
10
10
10
12
11
6.
12
8
9
13
4
10
14
8
8
15
9
13
16
6.
9.
17
11
13
18
7
6
19
20
8
At the 1% level of significance, what can you conclude? Assume normality of the differences.
Transcribed Image Text:2. A new pill is touted to improve the memory retention capability of teenagers aging 13 to 16 years old. To test this claim, twenty teenagers of the same age range are randomly picked to read the first two chapters of the book "Harry Potter and the Philosopher's Stone" after which they are asked to enumerate the number of verbs they remember from those chapters. Then they are given the new pill to be taken once daily for 7 days. At the end of 7 days, they are asked to read the same two chapters and enumerate the number of verbs they remember. The results are tabulated below: Number of verbs remembered Number of verbs remembered Тeen before taking the pill (X1) after taking the pill (X2) 1 6. 7 10 3 14 15 4 7 9. 8 12 4 10 7 5 7 8 3 9. 9 9 10 10 10 12 11 6. 12 8 9 13 4 10 14 8 8 15 9 13 16 6. 9. 17 11 13 18 7 6 19 20 8 At the 1% level of significance, what can you conclude? Assume normality of the differences.
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