One program to help people stop smoking cigarettes uses the method of posthypnotic suggestion to remind subjects to avoid smoking. A random sample of 18 subjects agreed to test the program. All subjects counted the number of cigarettes they usually smoke a day; then they counted the number of cigarettes smoked the day after hypnosis. (Note: It usually takes several weeks for the subject to stop smoking completely, and the method does not work for everyone.) The results follow. Cigarettes Smoked per Day Cigarettes Smoked per Day Subject After Hypnosis Before Hypnosis Subject After Hypnosis Before Hypnosis 1 29 21 10 8 14 2 18 32 11 14 39 3 5 18 12 28 47 4 25 23 13 35 22 5 32 23 14 13 39 6 11 41 15 2 16 7 2 11 16 12 34 8 11 16 17 7 21 9 7 29 18 13 29 Using a 10% level of significance, test the claim that the number of cigarettes smoked per day was less after hypnosis. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
One program to help people stop smoking cigarettes uses the method of posthypnotic suggestion to remind subjects to avoid smoking. A random sample of 18 subjects agreed to test the program. All subjects counted the number of cigarettes they usually smoke a day; then they counted the number of cigarettes smoked the day after hypnosis. (Note: It usually takes several weeks for the subject to stop smoking completely, and the method does not work for everyone.) The results follow. Cigarettes Smoked per Day Cigarettes Smoked per Day Subject After Hypnosis Before Hypnosis Subject After Hypnosis Before Hypnosis 1 29 21 10 8 14 2 18 32 11 14 39 3 5 18 12 28 47 4 25 23 13 35 22 5 32 23 14 13 39 6 11 41 15 2 16 7 2 11 16 12 34 8 11 16 17 7 21 9 7 29 18 13 29 Using a 10% level of significance, test the claim that the number of cigarettes smoked per day was less after hypnosis. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply...
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One program to help people stop smoking cigarettes uses the method of posthypnotic suggestion to remind subjects to avoid smoking. A random sample of 18 subjects agreed to test the program. All subjects counted the number of cigarettes they usually smoke a day; then they counted the number of cigarettes smoked the day after hypnosis. (Note: It usually takes several weeks for the subject to stop smoking completely, and the method does not work for everyone.) The results follow.
Cigarettes Smoked per Day |
Cigarettes Smoked per Day |
||||
Subject | After Hypnosis |
Before Hypnosis |
Subject | After Hypnosis |
Before Hypnosis |
1 | 29 | 21 | 10 | 8 | 14 |
2 | 18 | 32 | 11 | 14 | 39 |
3 | 5 | 18 | 12 | 28 | 47 |
4 | 25 | 23 | 13 | 35 | 22 |
5 | 32 | 23 | 14 | 13 | 39 |
6 | 11 | 41 | 15 | 2 | 16 |
7 | 2 | 11 | 16 | 12 | 34 |
8 | 11 | 16 | 17 | 7 | 21 |
9 | 7 | 29 | 18 | 13 | 29 |
Using a 10% level of significance, test the claim that the number of cigarettes smoked per day was less after hypnosis.
(a) What is the level of significance?
(b) Compute the sample test statistic. (Use 2 decimal places.)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
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