Homework Help is Here – Start Your Trial Now!
Math
Statistics
(c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) X (d) What is the 95% confidence interval for the difference between the two population means? (Use x₁ - x₂. Round your answers to one decimal place.) to

(c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) X (d) What is the 95% confidence interval for the difference between the two population means? (Use x₁ - x₂. Round your answers to one decimal place.) to

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%

I need help finding part c and d

### Understanding Statistical Differences: An Example In this exercise, we explore the statistical analysis of two independent random samples from different populations. #### Sample Descriptions - **Sample 1**: - Sample Size (\(n_1\)): 20 - Sample Mean (\(\bar{x}_1\)): 22.9 - Sample Standard Deviation (\(s_1\)): 2.1 - **Sample 2**: - Sample Size (\(n_2\)): 30 - Sample Mean (\(\bar{x}_2\)): 20.1 - Sample Standard Deviation (\(s_2\)): 4.8 #### Analysis Tasks **(a) Point Estimate of the Difference Between Population Means** - The point estimate is calculated as the difference between the two sample means: \[ \text{Point Estimate} = \bar{x}_1 - \bar{x}_2 = 22.9 - 20.1 = 2.8 \] **(b) Degrees of Freedom for the t Distribution** - To estimate the degrees of freedom, we round down to the nearest integer, resulting in: \[ \text{Degrees of Freedom} = 42 \] **(c) Margin of Error at 95% Confidence** - Calculate using statistical techniques and round your answer to one decimal place. **(d) 95% Confidence Interval for the Difference Between Population Means** - Using the point estimate, calculate the interval and express it to one decimal place. ### Conclusion This exercise demonstrates how to assess statistical differences between two independent groups using point estimates, degrees of freedom, and confidence intervals. This type of analysis is essential in various fields, such as science and business, for making informed decisions based on sample data.
Transcribed Image Text:### Understanding Statistical Differences: An Example In this exercise, we explore the statistical analysis of two independent random samples from different populations. #### Sample Descriptions - **Sample 1**: - Sample Size (\(n_1\)): 20 - Sample Mean (\(\bar{x}_1\)): 22.9 - Sample Standard Deviation (\(s_1\)): 2.1 - **Sample 2**: - Sample Size (\(n_2\)): 30 - Sample Mean (\(\bar{x}_2\)): 20.1 - Sample Standard Deviation (\(s_2\)): 4.8 #### Analysis Tasks **(a) Point Estimate of the Difference Between Population Means** - The point estimate is calculated as the difference between the two sample means: \[ \text{Point Estimate} = \bar{x}_1 - \bar{x}_2 = 22.9 - 20.1 = 2.8 \] **(b) Degrees of Freedom for the t Distribution** - To estimate the degrees of freedom, we round down to the nearest integer, resulting in: \[ \text{Degrees of Freedom} = 42 \] **(c) Margin of Error at 95% Confidence** - Calculate using statistical techniques and round your answer to one decimal place. **(d) 95% Confidence Interval for the Difference Between Population Means** - Using the point estimate, calculate the interval and express it to one decimal place. ### Conclusion This exercise demonstrates how to assess statistical differences between two independent groups using point estimates, degrees of freedom, and confidence intervals. This type of analysis is essential in various fields, such as science and business, for making informed decisions based on sample data.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS