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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff879b21c-66f8-4e82-95f3-6e5c7a2a2e0e%2Febef2220-4fdd-4ce5-b295-1dd677db2586%2F6anp1zn_processed.png&w=3840&q=75)
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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