/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 47 Music and Divergent Thinking In ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Music and Divergent Thinking In a 2017 study published at PLOS.org, researchers investigated the effect of music on creativity (Ritter and Ferguson 2017). Subjects were recruited for the study using an online research participation system at a university. Four pieces of music were selected with different emotional tones: calm, happy, sad, and anxious. Subjects were randomly assigned to listen to one of these four pieces or to a group that listened to no music (silence). After 15 seconds of music (or silence) subjects were given a task that assessed their creativity and divergent thinking. Read the excerpts from the study abstract and answer the following questions. Results: Our main hypothesis was that listening to happy music, as compared to a silence control condition, facilitates divergent thinking. An independent-samples \(t\) -test was conducted to compare the happy music condition with the silence control condition on overall divergent thinking (ODT). There was a significant difference in \(\mathrm{ODT}\) between the happy music \((\mathrm{M}=93.87, \mathrm{SD}=32.02)\) and silence \((\mathrm{M}=76.10\) \(\mathrm{SD}=32.62\) ) conditions, \(\mathrm{t}(57)=2.110, \mathrm{p}=.039 .\) The results suggest that listening to happy music increases performance on overall divergent thinking. a. Identify the treatment variable and the response variable. b. Was this a controlled experiment or an observational study? Explain. c. Can you conclude from that listening happy music enhances divergent thinking? Why or why not?

Short Answer

Expert verified
a. Treatment variable: Type of music. Response variable: Divergent thinking. b. This was a controlled experiment, because the researchers manipulated the music type. c. Yes, we can conclude that listening to happy music enhances divergent thinking, because the p-value was less than 0.05, showing a statistically significant difference in divergent thinking between those who listened to happy music and those who experienced silence.

Step by step solution

01

Identifying the Treatment and the Response Variables

In any experimental study, the treatment variable is the variable that is manipulated by the researcher, while the response variable is the variable that we want to test. Here, the treatment variable is the type of music, and the response variable is the divergent thinking.
02

Determining the Type of Study

To determine if it is a controlled experiment or an observational study, we need to check if the researchers actively controlled and manipulated the independent variable. In this study, the researchers indeed manipulated the type of music the subjects were listening to. Therefore, this was a controlled experiment.
03

Interpreting the Conclusion

To interpret the study results, we need to check if the p-value is less than 0.05, which is the common threshold for statistical significance. Here, p-value=0.039<0.05, so it indicates that the diversification effect of happy music is statistically significant, compared to silence. Furthermore, the t-statistic value is above 2, suggesting a significant difference between the two groups. So, we can conclude that listening to happy music enhances divergent thinking.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Divergent Thinking
Divergent thinking is a key component of creativity, involving generating multiple solutions or ideas from a single prompt. It focuses on flexibility and originality. In the context of the exercise, participants were tasked with assessments requiring them to think divergently. This allowed researchers to measure how different types of music influenced their creative output. Divergent thinking contrasts with convergent thinking, where individuals are encouraged to find a single, correct answer. In teaching and learning, promoting divergent thinking can lead to innovative and out-of-the-box solutions.
Controlled Experiment
In a controlled experiment, researchers manipulate one or more variables to observe their effect on other variables. This method is crucial in establishing cause-and-effect relationships. For this study, the type of music was the independent variable manipulated to observe its effect on divergent thinking, the dependent variable. A controlled experiment often includes a control group, which, in this case, consisted of participants who listened to silence. By holding other factors constant and only varying the music, researchers make more accurate conclusions about its effect on creativity.
Statistical Significance
Statistical significance is a measure that helps researchers understand if their results are likely due to chance. It is often determined by a p-value. In this study, a p-value less than 0.05 indicates that the difference in divergent thinking between participants listening to happy music and those in silence is meaningful. A statistically significant result does not just happen by chance, indicating strong evidence to support the hypothesis that happy music enhances divergent thinking. This helps solidify conclusions drawn from experimental data.
t-test
A t-test is a statistical test used to compare the means of two groups. It helps determine if the differences observed are statistically significant. Here, the independent-samples t-test compared the means of the happy music group and the silence group in terms of overall divergent thinking. The test results showed a t-statistic (\( t(57)=2.110 \)) indicating there was a significant difference. This supports the hypothesis, reinforcing the idea that happy music may foster greater divergent thinking capabilities compared to silence.
p-value
The p-value is a statistical metric that helps researchers determine the significance of their results. A small p-value (\( p<0.05 \)) suggests that the observed results are unlikely due to random chance. For the study in question, the p-value was 0.039, below the threshold of 0.05, revealing statistically significant results. This means the likelihood that happy music improves divergent thinking isn't just a fluke. Choosing appropriate p-value thresholds is crucial, as they help validate the reliability of conclusions drawn from the data.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Coronary Artery Bypass Grafting A study reported in the New England Journal of Medicine was conducted to compare outcomes for radial arterial grafts and saphenous-vein grafts in coronary artery bypass surgeries (Gaudino et al. 2018 ). Read this excerpt from the study abstract and answer the questions that follow. Methods: We performed a patient-level combined analysis of randomized, controlled trials to compare radial-artery grafts and saphenousvein grafts for coronary artery bypass grafting \((\mathrm{CABG}) .\) Six trials were identified. The primary outcome was a composite of death, myocardial infarction, or repeat revascularization. Results: A total of 1036 patients were included in the analysis (534 patients with radial-artery grafts and 502 patients with saphenousvein grafts). After a mean \((\pm S D)\) follow-up time of \(60 \pm 30\) months, the incidence of adverse cardiac events was significantly lower in association with radial- artery grafts than with saphenous-vein grafts (95\% confidence interval [CI], \(0.49\) to \(0.90 ; \mathrm{P}=0.01\) ), As compared with the use of saphenous- vein grafts, the use of radial-artery grafts was associated with a nominally lower incidence of myocardial infarction (95\% CI, \(0.53\) to \(0.99 ; \mathrm{P}=0.04\) ) and a lower incidence of repeat revascularization \((95 \% \mathrm{Cl}, 0.40\) to \(0.63 ; \mathrm{P}<0.001)\) but not a lower incidence of death from any cause \((95 \% \mathrm{CI}, 0.59\) to \(1.41 ; \mathrm{P}=0.68)\). a. Which graft method had more positive outcomes? Explain. b. There was an outcome for which one method did not have significantly better outcomes than the other. What outcome was this and how does the p-value support this conclusion?

Tomato Plants and Fertilizer Suppose you grow tomato plants in a greenhouse and sell the tomatoes by weight, so the amount of money you make depends on plants producing a large total weight of tomatoes. You want to determine which of two fertilizers will produce a heavier harvest of tomatoes, fertilizer \(\mathrm{A}\) or fertilizer \(\mathrm{B}\). There are two distinct regions in the greenhouse: one on the southern side that gets more light and one on the northern side that gets less light. There is room for 20 tomato plants on the southern side and 20 on the northern side. Assume that all the plants are beefsteak tomato plants. a. Identify the treatment and response variables. b. Describe a simple randomized design to test whether fertilizer \(\mathrm{A}\) is better than fertilizer B. c. Describe a blocked design to test which fertilizer produces a greater weight of tomatoes, blocking by southern side and northern side of the greenhouse. Explain why creating blocks based on whether plants are on the southern or northern side makes sense. d. Explain why researchers might prefer a blocked design.

Dairy Products and Muscle The following two headlines concern the same topic. Which one has language that suggests a cause-and-effect relationship, and which does not? Headline A: "Dairy Builds Muscle" Headline B: "People Who Consume More Dairy Products Tend to Have More Muscle"

Stroke Therapy In a 2018 study reported in The New England Journal of Medicine, Johnston et al. studied the effect of a combination of the drug clopidogrel and aspirin on reducing the rate of recurrent stroke among stroke patients. Stroke patients in the study were randomly assigned to receive clopidogrel and aspirin \((n=2432)\) or a placebo and aspirin \((n=2449)\). Of those receiving clopidogrel and aspirin, 121 had another stroke. Of those receiving the placebo and aspirin, 159 had another stroke. Researchers concluded that patients with minor ischemic stroke or high-risk TIA who received a combination of clopidogrel and aspirin had a lower risk of having another stroke. a. Compare the percentage in each group who had another stroke. Based on these percentages, does it seem like clopidogrel might be effective in reducing the risk of recurrent stroke? b. Was this a controlled experiment or an observational study? c. Identify the treatment and response variables. d. State the conclusion in terms of cause and effect or explain why cause-and- effect conclusions cannot be drawn from this study.

Intravenous Fluids Critically ill patients are often given intravenous fluids in hospital, either in the form of balanced crystalloids or saline solutions. In a 2018 study published in The New England Journal of Medicine, researchers investigated which of these approaches resulted in better clinical outcomes. Read this excerpt from the abstract that accompanies this study and answer the following questions (Semmler et al. 2018). Methods: In a pragmatic, cluster-randomized, multiple-crossover trial conducted in five intensive care units at an academic center, we assigned 15,802 adults to receive saline or balanced crystalloids. The primary outcome was a major adverse kidney event within 30 days \(-\) a composite of death from any cause, new renal-replacement therapy, or persistent renal dysfunction. Results: Among the 7942 patients in the balanced-crystalloids group, \(1139(14.3 \%)\) had a major adverse kidney event, as compared with 1211 of 7860 patients \((15.4 \%)\) in the saline group \((P=0.04)\). a. Identify the treatment variable. b. The response variable in this study is major adverse kidney event within 30 days. Was there a significant difference in occurrence of major adverse kidney events between the two groups? Explain. Assume a significance level of \(0.05\). c. Based on this study, do you think one type of intravenous fluid may be preferable over the other? Explain.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.