### Educational Exercise: Analyzing Quiz Score Improvement#### ScenarioA teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz before the worksheet and then another quiz after the worksheet. Assume that the quiz scores are normally distributed. #### Given DataThe grades for each quiz are provided below:- Use a significance level of $\alpha = 0.05$.- List 1 has the post-quiz scores.- List 2 has the pre-quiz scores.The hypothesis test is designed to see if the Post-Quiz Scores are greater than the Pre-Quiz Scores:\[H_0: \mu_d = 0\]\[H_1: \mu_d > 0\]#### Data Table| Post-Quiz | Pre-Quiz ||-----------|----------|| 9 | 11 || 14 | 11 || 17 | 18 || 20 | 15 || 14 | 13 || 15 | 14 || 13 | 9 || 16 | 14 || 10 | 10 || 16 | 15 |#### Statistical AnalysisTo determine if there is a significant increase in quiz scores, we perform the following calculations:1. **Test Statistic Calculation** - The test statistic is calculated from the given data. - Report the test statistic accurate to three decimal places.\[ \text{test statistic} = \underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \]2. **P-value Calculation** - The p-value is calculated based on the test statistic. - Report the p-value accurate to three decimal places.\[ \text{p-value} = \underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \]3. **Decision Making** - Based on the p-value and the significance level ($\alpha = 0.05$), make a decision. - The decision should be either to Reject $H_0$ or Fail to Reject $H_0$.\[\text{The correct decision is to} \ \underline{\ \text{Select an

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Description: ### Educational Exercise: Analyzing Quiz Score Improvement#### ScenarioA teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz before the worksheet and then another quiz after the worksh

There are two samples which are post-quiz and pre-quiz. The samples are independent and follow…

Math

Statistics

A teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz before the worksheet and then another quiz after the worksheet. Assume that the quiz scores are normally distributed. The grades for each quiz are given below. Use a significance level of a = 0.05. List 1 has the post-quiz scores. List 2 has the pre-quiz scores. The hypothesis test is to see if the Post-Quiz Scores are > the Pre-Quiz Scores So, Ho: Ha = 0 H1: µd > 0 post-quiz pre-quiz 11 14 11 17 18 20 15 14 13 15 14 13 9. 16 14 10 10 16 15 What is the test statistic? test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 3 decimal places.) The correct decision is to Select an answer The correct summary would be: Select an answer did improve the average quiz scores. that the worksheet n mo Oo

A teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz before the worksheet and then another quiz after the worksheet. Assume that the quiz scores are normally distributed. The grades for each quiz are given below. Use a significance level of a = 0.05. List 1 has the post-quiz scores. List 2 has the pre-quiz scores. The hypothesis test is to see if the Post-Quiz Scores are > the Pre-Quiz Scores So, Ho: Ha = 0 H1: µd > 0 post-quiz pre-quiz 11 14 11 17 18 20 15 14 13 15 14 13 9. 16 14 10 10 16 15 What is the test statistic? test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 3 decimal places.) The correct decision is to Select an answer The correct summary would be: Select an answer did improve the average quiz scores. that the worksheet n mo Oo

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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