n this study, the college instructor aims to know whether there are differences in the performance of students among the three classroom environments. We consider the ________________. as the factor variable. Also, the response variable is the __________________ which is in the ________________level of measurement. The students were independently and randomly assigned to each of the three classroom environments: Mozart piece, relaxation music, and silence. The p-values obtained from the Shapiro-Wilk test indicate that the assumption of ______________ was _______________. Further, results obtained from the Levene’s test indicate that the assumption of _______________ was ________________.. Considering the variable of interest and the results of the test for the assumptions, the appropriate test procedure to analyze the given data is the ___________________ The appropriate set of hypotheses to test the given objective is Ho: _________________and Ha: ___________________. The test yield a p-value equal to ____________________. Thus, we can infer that we have ___________________. evidence to say that ______________.. Given this result, we _____________________. with a posthoc analysis. R COMMANDER OUTPUT #5.5Parametric posthoc analysisLinear Hypotheses:Estimate Sstd. Error t valuePr (>|t|)в- A == 0-3.26670.4821-6.776 <0.000001C -A == 0-7.60000.4821 -15.766 <0.000001c - B == 0 -4.33330.4821-8.989 <0.000001R COMMANDER OUTPUT #5.6R COMMANDER OUTPUT #5.6Nonparametric posthoc analysisComparison of x by group(No adjustment)Nonparametric testdata:score by classroomKruskal-Wallis chi-squared = 37.709,df = 2, p-value = 0.000000006479Col Mean-|Row Mean |AB3.0178540.0013*6.1404953.1226410.0000*0.0009* PROBLEM 5: Can music help you study?The sound waves produced by the music that we hear reach our brain by converting them intoelectrical signals which then travel to the eighth cranial nerve of our brain. Have you tried listeningto music while studying? In the early 1990s, an experiment by Raucher and his colleagues revealedthat listening to classical music could improve memory.So, does listening to music help or hinder students' learning? A college instructor wishes to test this so-called"Mozart Effect" on a random sample of 45 students. Each randomly selected student was assigned to study ina classroom under a certain environment (Classrooms A, B, and C). The students were then given amemorization task to be accomplished within 10 minutes. While performing the task, the students in ClassroomA listened to a Mozart piece, students in Classroom B listened to relaxation music, and students in ClassroomC sat in silence. At the end of the task, the students were given a 20-item test and their scores were recorded.R COMMANDER OUTPUT #5.1R COMMANDER OUTPUT #5.2Shapiro-Wilk normality testLevene's Testdata:for Homogeneity of VarianceDf F value Pr (>F)group 2 0.5473 0.5826scorew = 0.90955, p-value = 0.1333w = 0.92179, p-value = 0.2051w = 0.93674, p-value = 0.3431classroom = Aclassroom = Bclassroom = C42R COMMANDER OUTPUT #5.3R COMMANDER OUTPUT #5.4Parametric testDf Sum Sq Mean Sq F value Pr (>F)sd data:nmeanA 18.33333 1.175139B 15.06667 1.222799C 10.73333 1.53374715classroom2436.0218.02125.1 <2e-1615Residuals4273.21.7415

The Shapiro-Wilk test is used to check the normality of the data. If the p-value of the Shapiro-Wilk…

Answered: n this study, the college instructor…

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n this study, the college instructor aims to know whether there are differences in the performance of students among the three classroom environments. We consider the ________________. as the factor variable. Also, the response variable is the __________________ which is in the ________________level of measurement. The students were independently and randomly assigned to each of the three classroom environments: Mozart piece, relaxation music, and silence.

The p-values obtained from the Shapiro-Wilk test indicate that the assumption of ______________ was _______________. Further, results obtained from the Levene’s test indicate that the assumption of _______________ was ________________.. Considering the variable of interest and the results of the test for the assumptions, the appropriate test procedure to analyze the given data is the ___________________

The appropriate set of hypotheses to test the given objective is Ho: _________________and Ha: ___________________. The test yield a p-value equal to ____________________. Thus, we can infer that we have ___________________. evidence to say that ______________.. Given this result, we _____________________. with a posthoc analysis.

R COMMANDER OUTPUT #5.5
Parametric posthoc analysis
Linear Hypotheses:
Estimate Sstd. Error t value
Pr (>|t|)
в
- A == 0
-3.2667
0.4821
-6.776 <0.000001
C -
A == 0
-7.6000
0.4821 -15.766 <0.000001
c - B == 0 -4.3333
0.4821
-8.989 <0.000001
R COMMANDER OUTPUT #5.6
R COMMANDER OUTPUT #5.6
Nonparametric posthoc analysis
Comparison of x by group
(No adjustment)
Nonparametric test
data:
score by classroom
Kruskal-Wallis chi-squared = 37.709,
df = 2, p-value = 0.000000006479
Col Mean-|
Row Mean |
A
B
3.017854
0.0013*
6.140495
3.122641
0.0000*
0.0009*

PROBLEM 5: Can music help you study?
The sound waves produced by the music that we hear reach our brain by converting them into
electrical signals which then travel to the eighth cranial nerve of our brain. Have you tried listening
to music while studying? In the early 1990s, an experiment by Raucher and his colleagues revealed
that listening to classical music could improve memory.
So, does listening to music help or hinder students' learning? A college instructor wishes to test this so-called
"Mozart Effect" on a random sample of 45 students. Each randomly selected student was assigned to study in
a classroom under a certain environment (Classrooms A, B, and C). The students were then given a
memorization task to be accomplished within 10 minutes. While performing the task, the students in Classroom
A listened to a Mozart piece, students in Classroom B listened to relaxation music, and students in Classroom
C sat in silence. At the end of the task, the students were given a 20-item test and their scores were recorded.
R COMMANDER OUTPUT #5.1
R COMMANDER OUTPUT #5.2
Shapiro-Wilk normality test
Levene's Test
data:
for Homogeneity of Variance
Df F value Pr (>F)
group 2 0.5473 0.5826
score
w = 0.90955, p-value = 0.1333
w = 0.92179, p-value = 0.2051
w = 0.93674, p-value = 0.3431
classroom = A
classroom = B
classroom = C
42
R COMMANDER OUTPUT #5.3
R COMMANDER OUTPUT #5.4
Parametric test
Df Sum Sq Mean Sq F value Pr (>F)
sd data:n
mean
A 18.33333 1.175139
B 15.06667 1.222799
C 10.73333 1.533747
15
classroom
2
436.0
218.02
125.1 <2e-16
15
Residuals
42
73.2
1.74
15

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