1.(6 Points) A new medicinal drink is thought to help people stop smoking cigarettes. To test this, a random sample of 18 subjects agreed to drink one drink once a day for a month. Data is collected for these 18 subjects based on the number of cigarettes per day prior to starting the program, and the number of cigarettes per day after starting the program. Below is the data for these 18 subjects:

Subject

Number before program

Number after program

1

24

24

2

25

19

3

14

2

4

17

17

5

25

29

6

30

19

7

18

7

8

15

18

9

11

1

10

20

5

11

30

12

12

40

21

13

26

28

14

38

17

15

10

0

16

32

15

17

18

4

18

24

18

Using a sign test for matched pairs at the .01 level of significance, we will test the claim that the number of cigarettes smoked per day was less after the program.

a.State the null and alternative hypotheses.

b.Compute the sample test statistic.

c.Find the p-value.

d.State the conclusion at the .01 level of significance.

3. (6 Points) A new medicinal drink is thought to help people stop smoking cigarettes. To test this, a random sample of 18 subjects agreed to drink one drink once a day for a month. Data is collected for these 18 subjects based on the number of cigarettes per day prior to starting the program, and the number of cigarettes per day after starting the program. Below is the data for these 18 subjects: Subject Number before Number after program program 1 24 24 12 25 19 3 14 2 4 17 17 5 25 29 6 30 19 7 18 7 8 15 18 9 11 1 10 20 5 11 30 12 12 40 21 13 26 28 14 38 17 15 10 0 16 32 15 17 18 4 18 24 18 Using a sign test for matched pairs at the .01 level of significance, we will test the claim that the number of cigarettes smoked per day was less after the program. a. State the null and alternative hypotheses. b. Compute the sample test statistic. c. Find the p-value. d. State the conclusion at the .01 level of significance