The Depression Anxiety Stress Scales (DASS) is a tool to measure the depression, anxiety and stress...
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The Depression Anxiety Stress Scales (DASS) is a tool to measure the depression, anxiety and stress levels of individuals. For measuring the stress level, the DASS score ranges from 0 to 42 and a higher score indicates the individual is more stressful. To evaluate the effectiveness of a mindfulness programme to reduce stress, two groups of adults are being studied. The first group consists of adults who participated in the mindfulness programme (the Intervention group), while the second group consists of adults who did not (the Control group). The table below shows a summary of the stress level scores of participants. Sample mean Sample standard deviation Sample size Intervention Group 18.2 1.57 15 Control Group 19.87 1.46 15 The summary statistics of stress level scores of participants in the Intervention group and the Control group It is assumed that the stress level scores in both populations follow the normal distribution. Also, the population standard deviations of the score in both groups are the same. a) A researcher claimed that, for adults who participated in the mindfulness programme, their average stress level score is less than 19. Is there enough evidence to support the claim? Conduct the hypothesis test at the 5% significance level using the traditional method to justify your answer. [7] b) Is there evidence to justify the claim that there is a significant difference in the average stress level scores of adults who participated and did not participate in the mindfulness programme? With the help of the Excel software, find the P-value of the test and use the 5-step P-value approach to test the hypothesis at the 1% significance level. [9] c) Find the 98% confidence interval for the difference in the mean stress level scores of participants who participated and did not participate in the mindfulness programme. State whether the confidence interval contains only positive, only negative, or both positive and negative values, and thus, indicate which population mean is smaller. [4] The Depression Anxiety Stress Scales (DASS) is a tool to measure the depression, anxiety and stress levels of individuals. For measuring the stress level, the DASS score ranges from 0 to 42 and a higher score indicates the individual is more stressful. To evaluate the effectiveness of a mindfulness programme to reduce stress, two groups of adults are being studied. The first group consists of adults who participated in the mindfulness programme (the Intervention group), while the second group consists of adults who did not (the Control group). The table below shows a summary of the stress level scores of participants. Sample mean Sample standard deviation Sample size Intervention Group 18.2 1.57 15 Control Group 19.87 1.46 15 The summary statistics of stress level scores of participants in the Intervention group and the Control group It is assumed that the stress level scores in both populations follow the normal distribution. Also, the population standard deviations of the score in both groups are the same. a) A researcher claimed that, for adults who participated in the mindfulness programme, their average stress level score is less than 19. Is there enough evidence to support the claim? Conduct the hypothesis test at the 5% significance level using the traditional method to justify your answer. [7] b) Is there evidence to justify the claim that there is a significant difference in the average stress level scores of adults who participated and did not participate in the mindfulness programme? With the help of the Excel software, find the P-value of the test and use the 5-step P-value approach to test the hypothesis at the 1% significance level. [9] c) Find the 98% confidence interval for the difference in the mean stress level scores of participants who participated and did not participate in the mindfulness programme. State whether the confidence interval contains only positive, only negative, or both positive and negative values, and thus, indicate which population mean is smaller. [4]
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Related Book For
Essentials of Statistics for Business and Economics
ISBN: 978-1305081598
7th edition
Authors: David Anderson, Thomas Williams, Dennis Sweeney, Jeffrey Cam
Posted Date:
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