A researcher investigated the lateral range of motion (in degrees) for workers with and istory of lower back pain (LBP). The summary statistics are given in the following Sample Sample Sample Мean 91.5 88.3 Std. Dev. 5.5 Condition Size 13 No LBP LBP 17 7.8 Iculate a 95% confidence interval to estimate the difference between the true mean ent of lateral range of motion for the populations of people with the two conditions. ssume the underlying populations are normal with equal variances.) pose that the researcher wanted to test whether or not the means were equal (using a .05). She would want to test H, : 4, - H, = 0 versus H:4-4, #0. Using the fidence interval in part (a), what would be the decision (Reject Ho or Do not reject
A researcher investigated the lateral range of motion (in degrees) for workers with and istory of lower back pain (LBP). The summary statistics are given in the following Sample Sample Sample Мean 91.5 88.3 Std. Dev. 5.5 Condition Size 13 No LBP LBP 17 7.8 Iculate a 95% confidence interval to estimate the difference between the true mean ent of lateral range of motion for the populations of people with the two conditions. ssume the underlying populations are normal with equal variances.) pose that the researcher wanted to test whether or not the means were equal (using a .05). She would want to test H, : 4, - H, = 0 versus H:4-4, #0. Using the fidence interval in part (a), what would be the decision (Reject Ho or Do not reject
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Question
![A researcher investigated the lateral range of motion (in degrees) for workers with and
without a history of lower back pain (LBP). The summary statistics are given in the following
table.
Sample Sample Sample
Size
13
17
Mean
91.5
Std. Dev.
5.5
Condition
No LBP
LBP
88.3
7.8
(a) Calculate a 95% confidence interval to estimate the difference between the true mean
extent of lateral range of motion for the populations of people with the two conditions.
(Assume the underlying populations are normal with equal variances.)
(b) Suppose that the researcher wanted to test whether or not the means were equal (using a
= 0.05). She would want to test H : µ, - µ, = 0 versus H: 4 - µ, # 0. Using the
confidence interval in part (a), what would be the decision (Reject H, or Do not reject
H, )? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70a05657-0307-4b7c-962c-ab3824846297%2F8808e6ab-eff2-463e-a61c-c9f6e2536ba5%2Ftap5ix1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A researcher investigated the lateral range of motion (in degrees) for workers with and
without a history of lower back pain (LBP). The summary statistics are given in the following
table.
Sample Sample Sample
Size
13
17
Mean
91.5
Std. Dev.
5.5
Condition
No LBP
LBP
88.3
7.8
(a) Calculate a 95% confidence interval to estimate the difference between the true mean
extent of lateral range of motion for the populations of people with the two conditions.
(Assume the underlying populations are normal with equal variances.)
(b) Suppose that the researcher wanted to test whether or not the means were equal (using a
= 0.05). She would want to test H : µ, - µ, = 0 versus H: 4 - µ, # 0. Using the
confidence interval in part (a), what would be the decision (Reject H, or Do not reject
H, )? Explain.
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