A boutique fitness studio would like to test whether their program is effective at weight loss. They randomly select 6 female participants to adhere to their diet and exercise regimen for 12 weeks. A before and after weight in pounds was recorded fo each participant. Consider all the conditions to be met, including the population of differences is normal. Estimate the mear change in weight after 12 weeks on this program. Does the program promote weight loss? Here are the results of the study: Participant 1 2 4 Before 160.1 154.4 145.2 128.1 124.8 188.9 After 158.3 143.5 139.4 124.6 122.2 190.1 What is the mean difference? Round your final answer to 1 decimal place. Take differences as before - after. 3.9 What is the standard deviation of the differences? Round your final answer to 2 decimal places. What is the sample size? What is the critical value if researchers wish to construct a 95% confidence interval? Round your final answer to 3 decimal places. What is the lower bound of the confidence interval? Round your answer to 2 decimal places. pounds What is the upper bound of the confidence interval? Round your answer to 2 decimal places. pounds

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
icon
Related questions
Question
A boutique fitness studio would like to test whether their program is effective at weight loss. They randomly select 6 female
participants to adhere to their diet and exercise regimen for 12 weeks. A before and after weight in pounds was recorded for
each participant. Consider all the conditions to be met, including the population of differences is normal. Estimate the mean
change in weight after 12 weeks on this program. Does the program promote weight loss?
Here are the results of the study:
Participant 1
2
3
4
5
6.
Before
160.1
154.4
145.2
128.1
124.8
188.9
After
158.3
143.5
139.4
124.6
122.2
190.1
What is the mean difference? Round your final answer to 1 decimal place. Take differences as before - after.
3.9
What is the standard deviation of the differences? Round your final answer to 2 decimal places.
What is the sample size?
What is the critical value if researchers wish to construct a 95% confidence interval? Round your final answer to 3 decimal
places.
What is the lower bound of the confidence interval? Round your answer to 2 decimal places.
pounds
What is the upper bound of the confidence interval? Round your answer to 2 decimal places.
pounds
Transcribed Image Text:A boutique fitness studio would like to test whether their program is effective at weight loss. They randomly select 6 female participants to adhere to their diet and exercise regimen for 12 weeks. A before and after weight in pounds was recorded for each participant. Consider all the conditions to be met, including the population of differences is normal. Estimate the mean change in weight after 12 weeks on this program. Does the program promote weight loss? Here are the results of the study: Participant 1 2 3 4 5 6. Before 160.1 154.4 145.2 128.1 124.8 188.9 After 158.3 143.5 139.4 124.6 122.2 190.1 What is the mean difference? Round your final answer to 1 decimal place. Take differences as before - after. 3.9 What is the standard deviation of the differences? Round your final answer to 2 decimal places. What is the sample size? What is the critical value if researchers wish to construct a 95% confidence interval? Round your final answer to 3 decimal places. What is the lower bound of the confidence interval? Round your answer to 2 decimal places. pounds What is the upper bound of the confidence interval? Round your answer to 2 decimal places. pounds
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning