Help! ## Hypothesis Testing for Pre-Test and Post-Test Scores### Problem StatementYou wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.01$. For the context of this problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract.- **Null Hypothesis ($H_0$)**: $\mu_d = 0$- **Alternative Hypothesis ($H_a$)**: $\mu_d > 0$### Background InformationYou believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for $n = 46$ subjects. The average difference (post - pre) is $\overline{d} = 6.2$ with a standard deviation of the differences of $s_d = 35.3$.### Questions to Answer1. **Test Statistic Calculation** - **What is the test statistic for this sample?** Calculate and round to 4 decimal places. \[ \text{test statistic} = \boxed{} \]2. **P-Value Determination** - **What is the p-value for this sample?** Round to 4 decimal places. \[ \text{p-value} = \boxed{} \]3. **P-Value Comparison** - **The p-value is:** - $\mathbf{o}$ less than (or equal to) $\alpha$ - $\mathbf{o}$ greater than $\alpha$4. **Null Hypothesis Decision** - **This test statistic leads to a decision to:** - $\mathbf{o}$ reject the null - $\mathbf{o}$ accept the null - $\mathbf{o}$ fail to reject the null5. **Final Conclusion** - **As such, the final conclusion is that...**### Explanation of Terms and Calculations- **Test Statistic**: This is a standardized value derived from sample data during a hypothesis test. It is calculated using the formula for t-test statistics based on sample means and standard deviations.- **P-Value**: The probability that the observed results would occur if

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Description: Help! ## Hypothesis Testing for Pre-Test and Post-Test Scores### Problem StatementYou wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.01$. For the context of this problem, the first data set represents a pre-test a

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Math

Statistics

problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract. 0 = Prl :°H 0 < Prl : ®H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 46 subjects. The average difference (post - pre) is d = 6.2 with a standard deviation of the differences of sa = 35.3. a. What is the test statistic for this sample? test statistic = Round to 4 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value = c. The p-value is... O less than (or equal to) a greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that...

problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract. 0 = Prl :°H 0 < Prl : ®H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 46 subjects. The average difference (post - pre) is d = 6.2 with a standard deviation of the differences of sa = 35.3. a. What is the test statistic for this sample? test statistic = Round to 4 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value = c. The p-value is... O less than (or equal to) a greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that...

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Help!

## Hypothesis Testing for Pre-Test and Post-Test Scores

### Problem Statement
You wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.01$. For the context of this problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract.

- **Null Hypothesis ($H_0$)**: $\mu_d = 0$
- **Alternative Hypothesis ($H_a$)**: $\mu_d > 0$

### Background Information
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for $n = 46$ subjects. The average difference (post - pre) is $\overline{d} = 6.2$ with a standard deviation of the differences of $s_d = 35.3$.

### Questions to Answer

1. **Test Statistic Calculation**
- **What is the test statistic for this sample?**
Calculate and round to 4 decimal places.

\[
\text{test statistic} = \boxed{}
\]

2. **P-Value Determination**
- **What is the p-value for this sample?** Round to 4 decimal places.

\[
\text{p-value} = \boxed{}
\]

3. **P-Value Comparison**
- **The p-value is:**
- $\mathbf{o}$ less than (or equal to) $\alpha$
- $\mathbf{o}$ greater than $\alpha$

4. **Null Hypothesis Decision**
- **This test statistic leads to a decision to:**
- $\mathbf{o}$ reject the null
- $\mathbf{o}$ accept the null
- $\mathbf{o}$ fail to reject the null

5. **Final Conclusion**
- **As such, the final conclusion is that...**

### Explanation of Terms and Calculations
- **Test Statistic**: This is a standardized value derived from sample data during a hypothesis test. It is calculated using the formula for t-test statistics based on sample means and standard deviations.
- **P-Value**: The probability that the observed results would occur if

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