Tai Chi is often recommended as a way to improve flexibility in the elderly. Below are before-and-after flexibility ratings (on a 1 to 10 scale, 10 being most flexible) for a random sample of 8 men in their 80’s who took Tai Chi lessons for six months. (Data is in the Picture) (a) Researchers would like to estimate the true mean difference (after – before) in flexibility rating for men in their 80’s who take Tai Chi lessons for 6 months. Determine if the conditions for constructing a 95% confidence interval are met. (b) The 95% confidence interval is (0.0488, 2.26). Does this interval provide convincing evidence that taking Tai Chi lessons for 6 months increases flexibility for men like these?
Tai Chi is often recommended as a way to improve flexibility in the elderly. Below are before-and-after flexibility ratings (on a 1 to 10 scale, 10 being most flexible) for a random sample of 8 men in their 80’s who took Tai Chi lessons for six months. (Data is in the Picture) (a) Researchers would like to estimate the true mean difference (after – before) in flexibility rating for men in their 80’s who take Tai Chi lessons for 6 months. Determine if the conditions for constructing a 95% confidence interval are met. (b) The 95% confidence interval is (0.0488, 2.26). Does this interval provide convincing evidence that taking Tai Chi lessons for 6 months increases flexibility for men like these?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 34PPS
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Tai Chi is often recommended as a way to improve flexibility in the elderly. Below are before-and-after flexibility ratings (on a 1 to 10 scale, 10 being most flexible) for a random sample of 8 men in their 80’s who took Tai Chi lessons for six months. (Data is in the Picture)
(a) Researchers would like to estimate the true mean difference (after – before) in flexibility rating for men in their 80’s who take Tai Chi lessons for 6 months. Determine if the conditions for constructing a 95% confidence interval are met.
(b) The 95% confidence interval is (0.0488, 2.26). Does this interval provide convincing evidence that taking Tai Chi lessons for 6 months increases flexibility for men like these?
Transcribed Image Text:Subject A
Flexibility rating after Tai Chi
Flexibility rating before Tai Chi
B
C
D
E
F
G
H
2
4
3
3
3
4
5
10
1
1
2
1
4
10
2.
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