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
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![**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.
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