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Part B: Apparatus Finals Lets now look at the floor exercise scores in the Female Apparatus Finals and in the Male Apparatus Finals. a) Find the sample mean and sample standard deviation for the floor exercise scores in the Female Apparatus Finals. b) Find the sample mean and sample standard deviation for the floor exercise scores in the Male Apparatus Finals. c) Based on statistical data, can we infer at the 5% significance level that female gym- nasts have a higher population mean floor exercise score in the Apparatus Finals than male gymnasts? (Hint: Use the results of a) and b) and apply the t-test for difference of population means).

Part B: Apparatus Finals Lets now look at the floor exercise scores in the Female Apparatus Finals and in the Male Apparatus Finals. a) Find the sample mean and sample standard deviation for the floor exercise scores in the Female Apparatus Finals. b) Find the sample mean and sample standard deviation for the floor exercise scores in the Male Apparatus Finals. c) Based on statistical data, can we infer at the 5% significance level that female gym- nasts have a higher population mean floor exercise score in the Apparatus Finals than male gymnasts? (Hint: Use the results of a) and b) and apply the t-test for difference of population means).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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female

2015 Artistic - Floor Female  15.25
2015 Artistic - Floor Female  14.85
2015 Artistic - Floor Female  14.2
2015 Artistic - Floor Female  13.95
2015 Artistic - Floor Female  13.65
2015 Artistic - Floor Female  13.3
2015 Artistic - Floor Female  12.7
2015 Artistic - Floor Female  0
2011 Artistic - Floor Female 14.45
2011 Artistic - Floor Female 14.2
2011 Artistic - Floor Female 13.55
2011 Artistic - Floor Female 13.25
2011 Artistic - Floor Female 12.85
2011 Artistic - Floor Female 11.8
2011 Artistic - Floor Female 11.25
2007 Artistic - Floor Female 15
2007 Artistic - Floor Female 14.9
2007 Artistic - Floor Female 14.45
2007 Artistic - Floor Female 14.3
2007 Artistic - Floor Female 13.7
2007 Artistic - Floor Female 13.55
2007 Artistic - Floor Female 13.45
2007 Artistic - Floor Female 13.15

male:

2015 Artistic - Floor Male 14.35
2015 Artistic - Floor Male 14.05
2015 Artistic - Floor Male 14.05
2015 Artistic - Floor Male 13.95
2015 Artistic - Floor Male 13.85
2015 Artistic - Floor Male 13.4
2015 Artistic - Floor Male 12.8
2015 Artistic - Floor Male 11.55
2011 Artistic - Floor Male 13.6
2011 Artistic - Floor Male 13.4
2011 Artistic - Floor Male 13.35
2011 Artistic - Floor Male 13.1
2011 Artistic - Floor Male 13.1
2011 Artistic - Floor Male 13.05
2011 Artistic - Floor Male 12.7
2011 Artistic - Floor Male 12.4
2007 Artistic - Floor Male 13
2007 Artistic - Floor Male 12.7
2007 Artistic - Floor Male 12.65
2007 Artistic - Floor Male 12.65
2007 Artistic - Floor Male 12.6
2007 Artistic - Floor Male 12.25
2007 Artistic - Floor Male 12.15
2007 Artistic - Floor Male 12.05
Part B: Apparatus Finals Lets now look at the floor exercise scores in the Female Apparatus Finals and in the Male Apparatus Finals. a) Find the sample mean and sample standard deviation for the floor exercise scores in the Female Apparatus Finals. b) Find the sample mean and sample standard deviation for the floor exercise scores in the Male Apparatus Finals. c) Based on statistical data, can we infer at the 5% significance level that female gym- nasts have a higher population mean floor exercise score in the Apparatus Finals than male gymnasts? (Hint: Use the results of a) and b) and apply the t-test for difference of population means). d) Is your conclusion in part c) for the Apparatus Finals consistent with your conclusion for the Individual All-Around Finals from Part A? Explain. e) Consider the requirements for a t-test for difference of population means and deter- mine if it was reasonable to proceed with the t-test in part c). (Hint: Consider the sample sizes for female gymnasts and male gymnasts. Then, consider the normal quantile plots for female floor scores and male floor scores given below. You can read more about normal quantile plots in 6.5 Assessing Normality in the textbook.) 2.5 2 1.5 1 0.5 0 -0.5 11 -1 -1.5 -2 -2.5 ● Female Floor Apparatus Final Scores 11.5 12 : 12.5 ● 13.5 14 14.5 Final Score 15 15.5 2 2.5 2 1.5 1 0.5 0 -0.511.5 -1 -1.5 -2 -2.5 Male Floor Apparatus Final Scores 12 12.5 13 Final Score 13.5 .. 14 14.5
Transcribed Image Text:Part B: Apparatus Finals Lets now look at the floor exercise scores in the Female Apparatus Finals and in the Male Apparatus Finals. a) Find the sample mean and sample standard deviation for the floor exercise scores in the Female Apparatus Finals. b) Find the sample mean and sample standard deviation for the floor exercise scores in the Male Apparatus Finals. c) Based on statistical data, can we infer at the 5% significance level that female gym- nasts have a higher population mean floor exercise score in the Apparatus Finals than male gymnasts? (Hint: Use the results of a) and b) and apply the t-test for difference of population means). d) Is your conclusion in part c) for the Apparatus Finals consistent with your conclusion for the Individual All-Around Finals from Part A? Explain. e) Consider the requirements for a t-test for difference of population means and deter- mine if it was reasonable to proceed with the t-test in part c). (Hint: Consider the sample sizes for female gymnasts and male gymnasts. Then, consider the normal quantile plots for female floor scores and male floor scores given below. You can read more about normal quantile plots in 6.5 Assessing Normality in the textbook.) 2.5 2 1.5 1 0.5 0 -0.5 11 -1 -1.5 -2 -2.5 ● Female Floor Apparatus Final Scores 11.5 12 : 12.5 ● 13.5 14 14.5 Final Score 15 15.5 2 2.5 2 1.5 1 0.5 0 -0.511.5 -1 -1.5 -2 -2.5 Male Floor Apparatus Final Scores 12 12.5 13 Final Score 13.5 .. 14 14.5
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