You are interested in studying whether students living in the dorms or students living off campus are more stressed. You ask a sample of n1 = 35 students living in the dorms and n2 = 50 students living off campus to record their daily stress level for a week. The average stress level for students living in the dorms was M1 = 5.7 (on a 10-point stress scale), with a standard deviation of Sı = 1.4. The average stress level for students living off campus was M2 = 6.3 (on a 10-point stress scale), with a standard deviation of s2 = 1.3.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
8. Confidence intervals for estimating the difference in population means
Aa Aa
Elissa Epel, a professor of health psychology at the University of California-San Francisco, studied women in high-
and low-stress situations. She found that women with higher cortisol responses to stress ate significantly more sweet
food and consumed more calories on the stress day compared with those with low cortisol responses,
and compared
with themselves on lower stress days. Increases in negative mood in response to the stressors were also significantly
related to greater food consumption. These results suggest that psychophysiological responses to stress may
influence subsequent eating behavior. Over time, these alterations could impact both weight and health.
You are interested in studying whether students living in the dorms or students living off campus are more stressed.
You ask a sample of n1 = 35 students living in the dorms and n2 = 50 students living off campus to record their daily
stress level for a week.
The average stress level for students living in the dorms was M1
= 5.7 (on a 10-point stress scale), with a standard
deviation of S1
1.4. The average stress level for students living off campus was M2 :
= 6.3 (on a 10-point stress
scale), with a standard deviation of s2 = 1.3.
To develop a confidence interval for the population mean difference µ1 - H2, you need to calculate the estimated
standard error of the difference of sample means, s(M1 - M2). The estimated standard error is s(M1 - M2) =
Use the Distributions tool to develop a 99% confidence interval for the difference in the mean stress level of students
living in the dorms and students living off campus.
Transcribed Image Text:8. Confidence intervals for estimating the difference in population means Aa Aa Elissa Epel, a professor of health psychology at the University of California-San Francisco, studied women in high- and low-stress situations. She found that women with higher cortisol responses to stress ate significantly more sweet food and consumed more calories on the stress day compared with those with low cortisol responses, and compared with themselves on lower stress days. Increases in negative mood in response to the stressors were also significantly related to greater food consumption. These results suggest that psychophysiological responses to stress may influence subsequent eating behavior. Over time, these alterations could impact both weight and health. You are interested in studying whether students living in the dorms or students living off campus are more stressed. You ask a sample of n1 = 35 students living in the dorms and n2 = 50 students living off campus to record their daily stress level for a week. The average stress level for students living in the dorms was M1 = 5.7 (on a 10-point stress scale), with a standard deviation of S1 1.4. The average stress level for students living off campus was M2 : = 6.3 (on a 10-point stress scale), with a standard deviation of s2 = 1.3. To develop a confidence interval for the population mean difference µ1 - H2, you need to calculate the estimated standard error of the difference of sample means, s(M1 - M2). The estimated standard error is s(M1 - M2) = Use the Distributions tool to develop a 99% confidence interval for the difference in the mean stress level of students living in the dorms and students living off campus.
The 99% confidence interval is
to
This means that you are
% confident that the unknown difference between the mean stress level of the
population of students living in the dorms and the population of students living off campus is located within this
interval.
Use the tool to construct a 90% confidence interval for the population mean difference. The 90% confidence interval
is
to
This means that you are
% confident that the unknown difference between the mean stress level of the
population of students living in the dorms and the population of students living off campus is located within this
interval.
The new confidence interval is
than the original one, because the new level of confidence is
than the original one.
Transcribed Image Text:The 99% confidence interval is to This means that you are % confident that the unknown difference between the mean stress level of the population of students living in the dorms and the population of students living off campus is located within this interval. Use the tool to construct a 90% confidence interval for the population mean difference. The 90% confidence interval is to This means that you are % confident that the unknown difference between the mean stress level of the population of students living in the dorms and the population of students living off campus is located within this interval. The new confidence interval is than the original one, because the new level of confidence is than the original one.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman