esearcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to ticipate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while dying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on owledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) X = 97.3 m $_=9.0 m ich of the following are critical values for the analysis? 12.000| 11.960 11.990| No music group (nm) X =93.1 nm nm = 10.0
esearcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to ticipate. Half of the selected students is asked to listen to music of their choice while studying for an exam and the other half is asked not to listen to any music while dying. After the exam, she computes the exam scores and obtains results presented below. Can the researcher conclude that there is an effect of listening to music on owledge acquisition? Conduct the appropriate statistical test (two-tailed) with a = .05. Music group (m) X = 97.3 m $_=9.0 m ich of the following are critical values for the analysis? 12.000| 11.960 11.990| No music group (nm) X =93.1 nm nm = 10.0
A First Course in Probability (10th Edition)
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
Transcribed Image Text:### Investigating the Impact of Music on Knowledge Acquisition
A researcher is interested in the effect of listening to music on knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate in the study. The students are divided into two groups: the music group and the no music group.
- The music group (m) listens to music of their choice while studying for an exam.
- The no music group (nm) does not listen to any music while studying.
After the exam, the researcher calculated the exam scores for both groups and obtained the following results:
**Music Group (m)**:
- Mean score (\( \bar{X}_m \)): 97.3
- Standard deviation (\( s_m \)): 9.0
**No Music Group (nm)**:
- Mean score (\( \bar{X}_{nm} \)): 93.1
- Standard deviation (\( s_{nm} \)): 10.0
To determine whether there is a statistically significant effect of listening to music on knowledge acquisition, we need to conduct the appropriate statistical test (two-tailed) with a significance level (\( \alpha \)) of 0.05.
#### Critical Values for the Analysis
Which of the following are critical values for the analysis?
- \( \circ \) 2.000
- \( \circ \) 1.960
- \( \circ \) 1.990
- \( \circ \) 1.660
This exercise involves analyzing the given data using statistical methods to determine if there is evidence that listening to music while studying has an impact on exam performance.
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