1. Your former high school teacher wants to study if the mean test scores differ among the three environments (A, B, and C). She then asked your statistical advice considering that you have enough knowledge that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her objective. Consider the graphs and results for the test of the assumptions that were generated using the R Commander (see page 2). a. Discuss and interpret the results obtained in both the graphs and statistical tests

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Help only in letter a, using the table values how can I interpret #1.a?
Can music help you study?
It has been claimed that listening to music while studying enhances concentration and
consequently helps an individual to absorb more information. To figure this out, your former
high school teacher decided to implement it on a random sample of students. Each randomly
selected student was assigned to study in a classroom under a certain environment
(Classrooms A, B, and C)
Classroom A had constant music being played in the background, classroom B had variable music being played,
and classroom C was a regular class with no music playing. After a month, a test was conducted for all three
groups and their test scores were collected. Aside from determining the test scores of the students, the teacher
also asked the students to personally rate their level of concentration which is measured from 1 to 5, with codes
1 as very low concentration, 2 as low concentration, 3 as moderate concentration, 4 as high concentration, and
5 as very high concentration.
1
Your former high school teacher wants to study if the mean test scores differ among the three
environments (A, B, and C). She then asked your statistical advice considering that you have enough
knowledge that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer
her objective. Consider the graphs and results for the test of the assumptions that were generated using
the R Commander (see page 2).
a. Discuss and interpret the results obtained in both the graphs and statistical tests
b. What will you recommend to your high school tearcher? Will you recommend a parametric test or a non-
parametric test? Briefly explain your answer.
Transcribed Image Text:Can music help you study? It has been claimed that listening to music while studying enhances concentration and consequently helps an individual to absorb more information. To figure this out, your former high school teacher decided to implement it on a random sample of students. Each randomly selected student was assigned to study in a classroom under a certain environment (Classrooms A, B, and C) Classroom A had constant music being played in the background, classroom B had variable music being played, and classroom C was a regular class with no music playing. After a month, a test was conducted for all three groups and their test scores were collected. Aside from determining the test scores of the students, the teacher also asked the students to personally rate their level of concentration which is measured from 1 to 5, with codes 1 as very low concentration, 2 as low concentration, 3 as moderate concentration, 4 as high concentration, and 5 as very high concentration. 1 Your former high school teacher wants to study if the mean test scores differ among the three environments (A, B, and C). She then asked your statistical advice considering that you have enough knowledge that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her objective. Consider the graphs and results for the test of the assumptions that were generated using the R Commander (see page 2). a. Discuss and interpret the results obtained in both the graphs and statistical tests b. What will you recommend to your high school tearcher? Will you recommend a parametric test or a non- parametric test? Briefly explain your answer.
R COMMANDER OUTPUT #1
classroom = A
Shapiro-Wilk normality test
data:
scores
W = 0.93482, p-value = 0.3217
classroom = B
Shapiro-Wilk normality test
data:
scores
W = 0.96737, p-value = 0.8173
classroom = C
Shapiro-Wilk normality test
data:
scores
W = 0.81631, p-value = 0.005998
Transcribed Image Text:R COMMANDER OUTPUT #1 classroom = A Shapiro-Wilk normality test data: scores W = 0.93482, p-value = 0.3217 classroom = B Shapiro-Wilk normality test data: scores W = 0.96737, p-value = 0.8173 classroom = C Shapiro-Wilk normality test data: scores W = 0.81631, p-value = 0.005998
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