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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?

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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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?
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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