2 this question has part a and b
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
2 this question has part a and b

Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.
| | Population 1 | Population 2 |
|-----------------|--------------|--------------|
| Sample Size | 48 | 52 |
| Sample Mean | 10.4 | 8.5 |
| Sample Variance | 9.5 | 15.42 |
A 90% confidence interval for \( \mu_1 - \mu_2 \) is 0.74 to 3.06, and a 99% confidence interval for \( \mu_1 - \mu_2 \) is 0.09 to 3.71. Use these confidence intervals to answer the questions.
1. Can you conclude with 99% confidence that there is a difference in the means for the two populations?
- Yes. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \).
- No. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu_2 \).
- No. The value \( \mu_1 - \mu_2 = 0 \) is in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu_2 \).
- Yes. The value \( \mu_1 - \mu_2 = 0 \) is in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \).
2. Can you conclude with 99% confidence that there is a difference in the means for the two populations?
- Yes. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \).
- No. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu
Expert Solution

Confidence interval :
Confidence interval is the range of values and it contains the true population parameter with specified confidence level 90%, 95%, 99%.
Confidence interval for mean difference between two groups is used to test the significant difference between two sample means.
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman