A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxiety levels before and after the study subjects participated in an 8 week training course in meditation. The difference in the pre-training and post-training trait anxiety levels were calculated for each participant. For the 27 people in the study, the mean reduction in anxiety was 4.7, and the standard deviation of the reductions was 6.8. A USE SALT (a) Find a 99% confidence interval for the population mean. (Round your answers to one decimal place.) to (b) Draw a picture similar to Figure 11.9 illustrating the confidence intervals you found in part (a). On the basis of the interval that you found in part (a) and/or the picture you drew, what can you conclude about the population mean reduction in anxiety? In the graph, the lower bound is --Select--- v 0 and the upper bound of the interval is -Select--- v 0. Therefore, we --Select--- v conclude that the meditation training is effective in reducing anxiety. (c) Refer to the three ways that paired data can occur. Which of the three best describes the situation in this exercise? Explain. O The same measurement is taken twice on each person, under different conditions or at different times. O Two different variables are measured for each individual. There is interest in the amount of difference between the two variables. O Similar individuals are paired before giving the treatments in an experiment. Each member of a pair then receives different treatment. The same response variable is measured for all individuals.

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A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxiety levels before and after the study subjects participated in an 8 week
training course in meditation. The difference in the pre-training and post-training trait anxiety levels were calculated for each participant. For the 27 people in the study, the mean reduction in anxiety
was 4.7, and the standard deviation of the reductions was 6.8.
In USE SALT
(a) Find a 99% confidence interval for the population mean. (Round your answers to one decimal place.)
to
(b) Draw a picture similar to Figure 11.9 illustrating the confidence intervals you found in part (a). On the basis of the interval that you found in part (a) and/or the picture you drew, what can you
conclude about the population mean reduction in anxiety?
In the graph, the lower bound is ---Select---
0 and the upper bound of the interval is ---Select---
0. Therefore, we
---Select--- v conclude that the meditation training is effective in reducing
anxiety.
(c) Refer to the three ways that paired data can occur. Which of the three best describes the situation in this exercise? Explain.
The same measurement is taken twice on each person, under different conditions or at different times.
Two different variables are measured for each individual. There is interest in the amount of difference between the two variables.
Similar individuals are paired before giving the treatments in an experiment. Each member of a pair then receives a different treatment. The same response variable is measured for all
individuals.
Transcribed Image Text:A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxiety levels before and after the study subjects participated in an 8 week training course in meditation. The difference in the pre-training and post-training trait anxiety levels were calculated for each participant. For the 27 people in the study, the mean reduction in anxiety was 4.7, and the standard deviation of the reductions was 6.8. In USE SALT (a) Find a 99% confidence interval for the population mean. (Round your answers to one decimal place.) to (b) Draw a picture similar to Figure 11.9 illustrating the confidence intervals you found in part (a). On the basis of the interval that you found in part (a) and/or the picture you drew, what can you conclude about the population mean reduction in anxiety? In the graph, the lower bound is ---Select--- 0 and the upper bound of the interval is ---Select--- 0. Therefore, we ---Select--- v conclude that the meditation training is effective in reducing anxiety. (c) Refer to the three ways that paired data can occur. Which of the three best describes the situation in this exercise? Explain. The same measurement is taken twice on each person, under different conditions or at different times. Two different variables are measured for each individual. There is interest in the amount of difference between the two variables. Similar individuals are paired before giving the treatments in an experiment. Each member of a pair then receives a different treatment. The same response variable is measured for all individuals.
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