**Research Question: Comparing the Writing Requirements of Political Science and History Classes****Background Information:**A study was conducted to determine whether political science classes require more writing than history classes. The study's data includes:- **Political Science Classes:** - Sample Size: 40 classes - Average Pages of Essay Writing: 13.1 pages - Standard Deviation: 3.9 pages- **History Classes:** - Sample Size: 53 classes - Average Pages of Essay Writing: 10.8 pages - Standard Deviation: 5.6 pages**Objective:** Determine at the $\alpha = 0.05$ level of significance whether political science classes require more writing than history classes.**Steps Involved in the Statistical Test:**1. **Choosing the Appropriate Test:** - We need to select an appropriate statistical test to compare the means of two independent samples.2. **Formulating Hypotheses:** - **Null Hypothesis (H0):** The mean number of pages assigned in political science classes is equal to or less than that in history classes. - **Alternative Hypothesis (H1):** The mean number of pages assigned in political science classes is greater than that in history classes. \[ H_0: \mu_{\text{pol. sci.}} \leq \mu_{\text{history}} \] \[ H_1: \mu_{\text{pol. sci.}} > \mu_{\text{history}} \]3. **Calculating the Test Statistic:** - Use the appropriate formula to calculate the test statistic for comparing two independent means. - Please provide your answer accurate to three decimal places.4. **Finding the p-value:** - Determine the p-value corresponding to the test statistic. - Please provide your answer accurate to four decimal places.5. **Comparing p-value with $\alpha$:** - Check if the p-value is less than $\alpha = 0.05$.6. **Making a Decision:** - If the p-value is less than $\alpha$, we reject the null hypothesis; otherwise, we do not reject it.7. **Conclusion:** - Based on the decision, state the conclusion clearly regarding whether political science classes require more writing than history classes.**Formulative

Given n1=40 n2=53 X1-bar=13.1 X2-bar=10.8 S1=3.9 S2=5.6

Answered: Do political science classes require…

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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