### Analyzing Quiz Score Improvement Using a Hypothesis TestA teacher is interested in determining whether quiz scores improve after students complete a worksheet. Students take a pre-quiz before starting the worksheet and a post-quiz after completing it. Assume that the quiz scores are normally distributed.The quiz scores for each student are provided in the table below. The significance level is set at $\alpha = 0.05$.#### Hypothesis Test**Null hypothesis (H₀):** $\mu_d = 0$ **Alternative hypothesis (H₁):** $\mu_d > 0$ where $\mu_d$ is the mean of the differences between the post-quiz and pre-quiz scores.#### Quiz Scores| Post-Quiz Scores | Pre-Quiz Scores || --- | --- || 17 | 15 || 15 | 7 || 11 | 2 || 18 | 10 || 15 | 14 || 14 | 15 || 16 | 15 || 13 | 6 || 15 | 13 || 16 | 19 |To proceed with the hypothesis test, the following questions need to be answered:1. **What is the test statistic?** \[ \text{test statistic} = \_\_\_\_\_ \] (Report answer accurate to 3 decimal places.)2. **What is the p-value for this sample?** \[ \text{p-value} = \_\_\_\_\_ \] (Report answer accurate to 3 decimal places.)By comparing the test statistic with the critical value or the p-value with the significance level, we can determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. This will help us conclude whether the worksheet had a statistically significant effect on improving student quiz scores.

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Description: ### Analyzing Quiz Score Improvement Using a Hypothesis TestA teacher is interested in determining whether quiz scores improve after students complete a worksheet. Students take a pre-quiz before starting the worksheet and a post-quiz after completi

Let Xi be the post quiz and Yi be the pre quiz We want to test the right tailed n=10

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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: Hd H1: µd > 0 post-quiz pre-quiz 17 15 15 7 11 2 18 10 15 14 14 15 16 15 13 6 15 13 16 19 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.)

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: Hd H1: µd > 0 post-quiz pre-quiz 17 15 15 7 11 2 18 10 15 14 14 15 16 15 13 6 15 13 16 19 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.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 57E: What is an experiment? Give two examples.

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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### Analyzing Quiz Score Improvement Using a Hypothesis Test

A teacher is interested in determining whether quiz scores improve after students complete a worksheet. Students take a pre-quiz before starting the worksheet and a post-quiz after completing it. Assume that the quiz scores are normally distributed.

The quiz scores for each student are provided in the table below. The significance level is set at $\alpha = 0.05$.

#### Hypothesis Test

**Null hypothesis (H₀):** $\mu_d = 0$
**Alternative hypothesis (H₁):** $\mu_d > 0$

where $\mu_d$ is the mean of the differences between the post-quiz and pre-quiz scores.

#### Quiz Scores
| Post-Quiz Scores | Pre-Quiz Scores |
| --- | --- |
| 17 | 15 |
| 15 | 7 |
| 11 | 2 |
| 18 | 10 |
| 15 | 14 |
| 14 | 15 |
| 16 | 15 |
| 13 | 6 |
| 15 | 13 |
| 16 | 19 |

To proceed with the hypothesis test, the following questions need to be answered:

1. **What is the test statistic?**

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

(Report answer accurate to 3 decimal places.)

2. **What is the p-value for this sample?**

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

(Report answer accurate to 3 decimal places.)

By comparing the test statistic with the critical value or the p-value with the significance level, we can determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. This will help us conclude whether the worksheet had a statistically significant effect on improving student quiz scores.

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