Part A: Individual All-Around Finals We will first look at the floor exercise scores in the Individual Female All-Around Finals and in the Individual Male All-Around Finals. a) Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Female All-Around Finals. b) Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Male All-Around Finals. c) Construct a 95% confidence interval for the difference in population mean floor exer- cise scores between female and male gymnasts in the Individual All-Around Finals. (Hint: Use the results of a) and b) and use the t-distribution.) d) Using the confidence interval in part c), can we infer at the 5% significance level that the population mean floor exercise score in the Individual All-Around Finals is different for female gymnasts and male gymnastics?
Part A: Individual All-Around Finals We will first look at the floor exercise scores in the Individual Female All-Around Finals and in the Individual Male All-Around Finals. a) Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Female All-Around Finals. b) Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Male All-Around Finals. c) Construct a 95% confidence interval for the difference in population mean floor exer- cise scores between female and male gymnasts in the Individual All-Around Finals. (Hint: Use the results of a) and b) and use the t-distribution.) d) Using the confidence interval in part c), can we infer at the 5% significance level that the population mean floor exercise score in the Individual All-Around Finals is different for female gymnasts and male gymnastics?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Female:
15 |
14.85 |
15.2 |
14.25 |
13.85 |
13 |
13.6 |
13.7 |
14.05 |
12.7 |
14.05 |
13.65 |
13.25 |
13.25 |
13.55 |
12.95 |
13.55 |
13.05 |
11.85 |
13.2 |
11 |
13.8 |
12.25 |
12.1 |
12.1 |
11.6 |
11.9 |
12.05 |
10.75 |
11.2 |
10.55 |
11.1 |
10.45 |
9.6 |
13.85 |
14.25 |
14.8 |
14 |
14.5 |
13.75 |
13.55 |
12.55 |
13.2 |
13.7 |
13.35 |
13.25 |
12.95 |
13.4 |
13.35 |
13.3 |
12.3 |
13.55 |
12.8 |
12.4 |
13.1 |
12.3 |
12.6 |
12.65 |
11.9 |
10.2 |
12.05 |
11.7 |
10.4 |
10.75 |
9.8 |
9.6 |
10.75 |
9.75 |
9.55 |
9.05 |
14.65 |
14.2 |
15.35 |
14.6 |
14.3 |
14.75 |
13.65 |
13.7 |
14.25 |
13.8 |
14.1 |
13.6 |
14 |
14.25 |
13.2 |
14.4 |
13.25 |
13.7 |
13.15 |
13.05 |
13.45 |
12.4 |
13.3 |
12.75 |
12.2 |
12.6 |
11.55 |
11.6 |
11.6 |
10 |
10.9 |
10.35 |
11.75 |
11.3 |
10.3 |
10.9 |
Male:
13.55 |
13.75 |
13.5 |
14.25 |
13.35 |
13.85 |
13.5 |
13.1 |
12.8 |
12.35 |
13.25 |
10.6 |
12.6 |
13.35 |
13.5 |
13.55 |
12.9 |
11.8 |
13.05 |
13.4 |
12.05 |
11.05 |
11.8 |
11.8 |
11.9 |
12.35 |
12.5 |
12.35 |
11.95 |
12.05 |
11.6 |
10.9 |
12.5 |
12.05 |
13 |
13.6 |
13.8 |
12.55 |
12.8 |
12 |
13.5 |
12.05 |
13.15 |
13.25 |
11.8 |
12.75 |
12.35 |
12.75 |
12.2 |
12.85 |
12.45 |
12.7 |
12.55 |
12.35 |
12.25 |
12.45 |
13 |
12.05 |
12 |
12.5 |
12.2 |
12.25 |
11.85 |
11.95 |
11.5 |
11.5 |
9.7 |
10.55 |
10 |
12.1 |
12.85 |
12.65 |
12.9 |
11.8 |
12.9 |
12.45 |
11.95 |
12.1 |
11.8 |
12.35 |
12.1 |
12 |
11.85 |
12.2 |
11.7 |
12.15 |
11.3 |
11.3 |
12.4 |
12 |
12 |
11.45 |
11 |
10.85 |
11.25 |
10.6 |
10.5 |
10.1 |
11 |
11 |
10.85 |
10.35 |
10.2 |
11.05 |
![Part A: Individual All-Around Finals
We will first look at the floor exercise scores in the Individual Female All-Around Finals
and in the Individual Male All-Around Finals.
a) Find the sample mean and sample standard deviation for the floor exercise scores in
the Individual Female All-Around Finals.
b) Find the sample mean and sample standard deviation for the floor exercise scores in
the Individual Male All-Around Finals.
c) Construct a 95% confidence interval for the difference in population mean floor exer-
cise scores between female and male gymnasts in the Individual All-Around Finals.
(Hint: Use the results of a) and b) and use the t-distribution.)
d) Using the confidence interval in part c), can we infer at the 5% significance level
that the population mean floor exercise score in the Individual All-Around Finals is
different for female gymnasts and male gymnastics?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff879b21c-66f8-4e82-95f3-6e5c7a2a2e0e%2Fd36ee34a-dcd1-4619-bfa8-7839212a0513%2Fbuqlc2m_processed.png&w=3840&q=75)
Transcribed Image Text:Part A: Individual All-Around Finals
We will first look at the floor exercise scores in the Individual Female All-Around Finals
and in the Individual Male All-Around Finals.
a) Find the sample mean and sample standard deviation for the floor exercise scores in
the Individual Female All-Around Finals.
b) Find the sample mean and sample standard deviation for the floor exercise scores in
the Individual Male All-Around Finals.
c) Construct a 95% confidence interval for the difference in population mean floor exer-
cise scores between female and male gymnasts in the Individual All-Around Finals.
(Hint: Use the results of a) and b) and use the t-distribution.)
d) Using the confidence interval in part c), can we infer at the 5% significance level
that the population mean floor exercise score in the Individual All-Around Finals is
different for female gymnasts and male gymnastics?
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