**Effect of Listening to Music on Knowledge Acquisition**A researcher is studying whether listening to music affects knowledge acquisition. She randomly selects 82 students from her Introduction to Psychology course to participate. Half of these students (the Music group) listen to music of their choice while studying for an exam, while the other half (the No music group) do not. After the exam, she computes the exam scores and presents the results as follows:**Music group (m)**- Sample mean ($\bar{X}_m$) = 97.3- Standard deviation ($s_m$) = 9.0**No music group (nm)**- Sample mean ($\bar{X}_{nm}$) = 93.1- Standard deviation ($s_{nm}$) = 10.0**Research Question:**Can the researcher conclude that there is an effect of listening to music on knowledge acquisition? Conduct the appropriate statistical test (two-tailed) with $\alpha = 0.05$.**Hypothesis Testing:**- Null hypothesis ($H_0$): Listening to music has no effect on knowledge acquisition.- Alternative hypothesis ($H_1$): Listening to music has an effect on knowledge acquisition.**Decision:**Should the researcher reject or fail to reject the null hypothesis?- Reject- Fail to rejectThis experiment involves comparing the exam scores of two groups of students: those who listen to music while studying and those who do not. Use statistical analysis to determine if the observed difference in means ($\bar{X}_m = 97.3$ for the Music group and $\bar{X}_{nm} = 93.1$ for the No music group) is statistically significant. Conduct a two-tailed test with a significance level ($\alpha$) of 0.05 to make this determination.

Sample means are x1=97.3 , x2=93.1Standard deviation are s1=9 , s2=10

Answered: researcher is interested in the effect…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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