Does the population mean rings score depend on the age of the gymnast? Consider the three age groups: 11-13, 14-16, and 17-19. Use the results from the 2007, 2011, and 2015 Individual Male All-Around Finals as sample data. DATA 2015 14.1 2015 14.7 2015 13.7 2015 13.45 2015 14.2 2015 11.25 2015 13.5 2015 13.6 2015 12.75 2015 12.75 2015 12.45 2015 13.25 2015 12.5 2015 13 2015 10.6 2015 12.65 2015 11.45 2015 12.55 2015 12.8 2015 10.8 2015 10.6 2015 13.2 2015 9.95 2015 10.15 2015 9.7 2015 10.15 2015 10.35 2015 11.9 2015 10.55 2015 9.55 2015 8.6 2015 9.2 2015 9.85 2015 9.75 2015 9.25 2015 no data 2011 13.4 2011 13.05 2011 12.34 2011 12.45 2011 11.9 2011 10.8 2011 11.65 2011 11.7 2011 12.15 2011 12.45 2011 12.6 2011 12.05 2011 12.55 2011 11.8 2011 11.2 2011 10.75 2011 11.35 2011 11.35 2011 11.05 2011 11 2011 10.9 2011 12.4 2011 11.4 2011 11.45 2011 10.6 2011 10.25 2011 11.3 2011 11.05 2011 11.1 2011 9.7 2011 9.25 2011 9 2011 7.3 2011 8.4 2011 9.15 2011 8.55 2007 12.4 2007 12.75 2007 12.4 2007 13.15 2007 12.05 2007 12.8 2007 11.95 2007 11.35 2007 12.35 2007 11.5 2007 10.9 2007 11.55 2007 11.65 2007 12.2 2007 11.3 2007 12.05 2007 11.65 2007 11.3 2007 11.4 2007 11.45 2007 12.35 2007 10.85 2007 11 2007 10.5 2007 10.35 2007 11.05 2007 10.9 2007 10.05 2007 10.6 2007 12.4 2007 10.55 2007 9.95 2007 10.1 2007 no data 2007 no data 2007 no data a) Perform at the 10% significance level the one-way ANOVA test to compare the population mean rings scores for each of the three age groups assuming that all of the requirements are met. Should we reject or not reject the claim that there is no difference in population mean scores between the age groups? b) Provide a possible explanation for the difference you did or did not observe in mean scores between the age groups in part a).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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Does the population mean rings score depend on the age of the gymnast? Consider the three age groups: 11-13, 14-16, and 17-19. Use the results from the 2007, 2011, and 2015 Individual Male All-Around Finals as sample data.

DATA

2015	14.1
2015	14.7
2015	13.7
2015	13.45
2015	14.2
2015	11.25
2015	13.5
2015	13.6
2015	12.75
2015	12.75
2015	12.45
2015	13.25
2015	12.5
2015	13
2015	10.6
2015	12.65
2015	11.45
2015	12.55
2015	12.8
2015	10.8
2015	10.6
2015	13.2
2015	9.95
2015	10.15
2015	9.7
2015	10.15
2015	10.35
2015	11.9
2015	10.55
2015	9.55
2015	8.6
2015	9.2
2015	9.85
2015	9.75
2015	9.25
2015	no data
2011	13.4
2011	13.05
2011	12.34
2011	12.45
2011	11.9
2011	10.8
2011	11.65
2011	11.7
2011	12.15
2011	12.45
2011	12.6
2011	12.05
2011	12.55
2011	11.8
2011	11.2
2011	10.75
2011	11.35
2011	11.35
2011	11.05
2011	11
2011	10.9
2011	12.4
2011	11.4
2011	11.45
2011	10.6
2011	10.25
2011	11.3
2011	11.05
2011	11.1
2011	9.7
2011	9.25
2011	9
2011	7.3
2011	8.4
2011	9.15
2011	8.55
2007	12.4
2007	12.75
2007	12.4
2007	13.15
2007	12.05
2007	12.8
2007	11.95
2007	11.35
2007	12.35
2007	11.5
2007	10.9
2007	11.55
2007	11.65
2007	12.2
2007	11.3
2007	12.05
2007	11.65
2007	11.3
2007	11.4
2007	11.45
2007	12.35
2007	10.85
2007	11
2007	10.5
2007	10.35
2007	11.05
2007	10.9
2007	10.05
2007	10.6
2007	12.4
2007	10.55
2007	9.95
2007	10.1
2007	no data
2007	no data
2007	no data

a) Perform at the 10% significance level the one-way ANOVA test to compare the population mean rings scores for each of the three age groups assuming that all of the requirements are met. Should we reject or not reject the claim that there is no difference in population mean scores between the age groups?

b) Provide a possible explanation for the difference you did or did not observe in mean scores between the age groups in part a).

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