In 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 test yielded a p-value equal to Click or tap here to enter text.. Thus, we can infer that we have sufficient evidence to say that Click or tap here to enter text.. Given this result, we Choose an item. with a posthoc analysis. (Fill out this paragraph if a posthoc analysis is appropriate.)A posthoc analysis using was done to determine which of the three classroom environments had a different mean test score. Based on the results of the test, the classroom environments which provided different mean test scores are Suppose you are a school administrator and you are looking for ways to boost the learning environment of your students, what actions can you take based on the results of the study? R COMMANDER OUTPUT #5.5Parametric posthoc analysisLinear Hypotheses:Estimate Std. Error t valuePr (>|t|)BA == 0-3.26670.4821-6.776 <0.000001A-7.60000.4821 -15.766 <0.000001==== 0-4.33330.4821-8.989 <0.000001R COMMANDER OUTPUT #5.6R COMMANDER OUTPUT #5.6Nonparametric testscore by classroomKruskal-Wallis chi-squaredNonparametric posthoc analysisComparison of x by group(No adjustment)data:37.709,Col Mean-|Row Mean |df = 2, p-value = 0.000000006479Aвв I3.0178540.0013*6.1404953.1226410.0000*0.0009* 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: scorefor Homogeneity of VarianceDf F value Pr (>F)classroom = AW == 0.13330.90955, p-value0.92179, p-valueW = 0.93674, p-valueclassroom= BW0.2051group0.5473 0.5826classroom = C= 0.343142R COMMANDER OUTPUT #5.3R COMMANDER OUTPUT #5.4Parametric testsd data:nmeanA 18.33333 1.175139Df Sum Sq Mean sq F value Pr (>F)218.0215classroom2436.0125.1 <2e-16B 15.06667 1.22279915Residuals4273.21.74C 10.73333 1.53374715

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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In 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 test yielded a p-value equal to Click or tap here to enter text.. Thus, we can infer that we have sufficient evidence to say that Click or tap here to enter text.. Given this result, we Choose an item. with a posthoc analysis.

(Fill out this paragraph if a posthoc analysis is appropriate.)

A posthoc analysis using was done to determine which of the three classroom environments had a different mean test score. Based on the results of the test, the classroom environments which provided different mean test scores are

Suppose you are a school administrator and you are looking for ways to boost the learning environment of your students, what actions can you take based on the results of the study?

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

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: score
for Homogeneity of Variance
Df F value Pr (>F)
classroom = A
W =
= 0.1333
0.90955, p-value
0.92179, p-value
W = 0.93674, p-value
classroom
= B
W
0.2051
group
0.5473 0.5826
classroom = C
= 0.3431
42
R COMMANDER OUTPUT #5.3
R COMMANDER OUTPUT #5.4
Parametric test
sd data:n
mean
A 18.33333 1.175139
Df Sum Sq Mean sq F value Pr (>F)
218.02
15
classroom
2
436.0
125.1 <2e-16
B 15.06667 1.222799
15
Residuals
42
73.2
1.74
C 10.73333 1.533747
15

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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