Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 64 64 Sample Mean 3.8 5.2 Sample Variance 9.78 12.72 The value of the test statistic is -2.36. USE SALT Calculate the p-value for a test of significant difference in the population means for the given data. (Round your answer to four decimal places.) p-value = Use the p-value to test for a significant difference in the population means at the 5% significance level. O Ho is rejected. There is insufficient evidence to indicate a difference in means. O Ho is not rejected. There is sufficient evidence to indicate a difference in means. O Ho is rejected. There is sufficient evidence to indicate a difference in means. Ho is not rejected. There is insufficient evidence to indicate a difference in means. Is this result consistent with the one obtained using the critical value approach, with a = 0.05? O Yes O No
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 64 64 Sample Mean 3.8 5.2 Sample Variance 9.78 12.72 The value of the test statistic is -2.36. USE SALT Calculate the p-value for a test of significant difference in the population means for the given data. (Round your answer to four decimal places.) p-value = Use the p-value to test for a significant difference in the population means at the 5% significance level. O Ho is rejected. There is insufficient evidence to indicate a difference in means. O Ho is not rejected. There is sufficient evidence to indicate a difference in means. O Ho is rejected. There is sufficient evidence to indicate a difference in means. Ho is not rejected. There is insufficient evidence to indicate a difference in means. Is this result consistent with the one obtained using the critical value approach, with a = 0.05? O Yes O No
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
I need help with this question 17
![**Title: Statistical Analysis of Population Means**
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances provided below.
**Population Data:**
| | 1 | 2 |
|------------------|----|-----|
| Sample Size | 64 | 64 |
| Sample Mean | 3.8| 5.2 |
| Sample Variance | 9.78 | 12.72 |
The value of the test statistic is **−2.36**.
**Calculate the p-value** for a test of significant difference in the population means for the given data. (Round your answer to four decimal places.)
**p-value =** [Input field]
**Use the p-value** to test for a significant difference in the population means at the 5% significance level.
- \( H_0 \) is rejected. There is insufficient evidence to indicate a difference in means.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate a difference in means.
- \( H_0 \) is rejected. There is sufficient evidence to indicate a difference in means.
- \( H_0 \) is not rejected. There is insufficient evidence to indicate a difference in means.
**Question:**
Is this result consistent with the one obtained using the critical value approach, with \( \alpha = 0.05 \)?
- Yes
- No
**Instructions:** Use the button to access software tools for further calculations.
[Button: **USE SALT**]
This content helps students engage with statistical testing methods to evaluate differences between population means based on sample data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbff43673-f06b-43ca-b409-46eb420ace6b%2F907125b1-fa12-44de-a0f5-b277bfdaf12f%2F5grsnlt_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Statistical Analysis of Population Means**
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances provided below.
**Population Data:**
| | 1 | 2 |
|------------------|----|-----|
| Sample Size | 64 | 64 |
| Sample Mean | 3.8| 5.2 |
| Sample Variance | 9.78 | 12.72 |
The value of the test statistic is **−2.36**.
**Calculate the p-value** for a test of significant difference in the population means for the given data. (Round your answer to four decimal places.)
**p-value =** [Input field]
**Use the p-value** to test for a significant difference in the population means at the 5% significance level.
- \( H_0 \) is rejected. There is insufficient evidence to indicate a difference in means.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate a difference in means.
- \( H_0 \) is rejected. There is sufficient evidence to indicate a difference in means.
- \( H_0 \) is not rejected. There is insufficient evidence to indicate a difference in means.
**Question:**
Is this result consistent with the one obtained using the critical value approach, with \( \alpha = 0.05 \)?
- Yes
- No
**Instructions:** Use the button to access software tools for further calculations.
[Button: **USE SALT**]
This content helps students engage with statistical testing methods to evaluate differences between population means based on sample data.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
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