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
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Author:Amos Gilat
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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.
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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