Student researchers at Hope College conducted an experiment to determine whether students memorize material better if they are taking notes on paper using handwriting as opposed to taking notes on a computer. They randomly assigned 20 students to the paper-based note-taking group and 20 students to the computer-based note-taking group. They showed all their subjects a 12-minute video about the sun and they were allowed to take notes in the method they were assigned. After the video was over, the notes were collected, and the students were given a 10-question quiz over information about the sun given in the video. Do students tend to memorize better using hand-written notes? (The results data are in the file NoteTaking.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Student researchers at Hope College conducted an experiment to determine whether students memorize material better if they are taking notes on paper using handwriting as opposed to taking notes on a computer. They randomly assigned 20 students to the paper-based note-taking group and 20 students to the computer-based note-taking group. They showed all their subjects a 12-minute video about the sun and they were allowed to take notes in the method they were assigned. After the video was over, the notes were collected, and the students were given a 10-question quiz over information about the sun given in the video. Do students tend to memorize better using hand-written notes? (The results data are in the file NoteTaking.)

## Statistical Analysis of Quiz Scores

### (a) Standardized Statistic Calculation

Use the Multiple Means applet to create a null distribution and calculate a standardized statistic. Please round your answer to two decimal places, for example, 0.29.

- **Standardized Statistic = -1.27**

### (b) Interpretation of the Standardized Statistic

Explain what your statistic from part (a) means in context:

- The chosen explanation: The answer to part (a) represents the number of standard deviations that the difference between the average quiz scores (taking notes on paper - taking notes on computer) is **below 1.425**.

### (c) Evidence Analysis of Quiz Score Differences

Evaluate whether there is strong evidence of a difference in the quiz scores between the two types of note-taking groups, based on your calculated statistic.

- The selected response: **No, there is not strong evidence of a difference in the mean quiz scores between the two types of note-taking groups because the standardized statistic is close to 0.**

### Summary

The exercise demonstrates how to utilize standardized statistics to analyze experimental data, focusing on the impact of different note-taking methods on quiz performance. The initial calculation reveals a standardized statistic of -1.27, which suggests that the observed difference in means is not sufficiently beyond the expected variation under the null hypothesis, indicating weak evidence of a difference between the groups.
Transcribed Image Text:## Statistical Analysis of Quiz Scores ### (a) Standardized Statistic Calculation Use the Multiple Means applet to create a null distribution and calculate a standardized statistic. Please round your answer to two decimal places, for example, 0.29. - **Standardized Statistic = -1.27** ### (b) Interpretation of the Standardized Statistic Explain what your statistic from part (a) means in context: - The chosen explanation: The answer to part (a) represents the number of standard deviations that the difference between the average quiz scores (taking notes on paper - taking notes on computer) is **below 1.425**. ### (c) Evidence Analysis of Quiz Score Differences Evaluate whether there is strong evidence of a difference in the quiz scores between the two types of note-taking groups, based on your calculated statistic. - The selected response: **No, there is not strong evidence of a difference in the mean quiz scores between the two types of note-taking groups because the standardized statistic is close to 0.** ### Summary The exercise demonstrates how to utilize standardized statistics to analyze experimental data, focusing on the impact of different note-taking methods on quiz performance. The initial calculation reveals a standardized statistic of -1.27, which suggests that the observed difference in means is not sufficiently beyond the expected variation under the null hypothesis, indicating weak evidence of a difference between the groups.
### Data Transcription

The table below shows the scores obtained using two different methods: "Paper" and "Computer." Each method's scores are listed for comparison.

| Method   | Score |
|----------|-------|
| Paper    | 5.5   |
| Paper    | 5.5   |
| Paper    | 7     |
| Paper    | 6.5   |
| Paper    | 7.5   |
| Paper    | 5     |
| Paper    | 8.5   |
| Paper    | 6     |
| Paper    | 7.5   |
| Paper    | 8     |
| Paper    | 6.5   |
| Paper    | 7.5   |
| Paper    | 7     |
| Paper    | 9     |
| Paper    | 7     |
| Paper    | 6     |
| Paper    | 8.5   |
| Paper    | 6.5   |
| Paper    | 7     |
| Paper    | 6.5   |
| Computer | 8     |
| Computer | 7.5   |
| Computer | 3.5   |
| Computer | 3.5   |
| Computer | 8.5   |
| Computer | 5     |
| Computer | 1     |
| Computer | 5.5   |
| Computer | 4     |
| Computer | 7     |
| Computer | 8     |
| Computer | 7     |
| Computer | 4     |
| Computer | 5     |
| Computer | 4.5   |
| Computer | 5     |
| Computer | 5     |
| Computer | 7     |
| Computer | 3     |
| Computer | 7.5   |

### Explanation

This dataset shows the results of assessments conducted using two distinct methods, "Paper" and "Computer." Each row represents a score obtained via one of the methods. The data can be used to analyze the effectiveness or preference of one method over the other based on the scores achieved.
Transcribed Image Text:### Data Transcription The table below shows the scores obtained using two different methods: "Paper" and "Computer." Each method's scores are listed for comparison. | Method | Score | |----------|-------| | Paper | 5.5 | | Paper | 5.5 | | Paper | 7 | | Paper | 6.5 | | Paper | 7.5 | | Paper | 5 | | Paper | 8.5 | | Paper | 6 | | Paper | 7.5 | | Paper | 8 | | Paper | 6.5 | | Paper | 7.5 | | Paper | 7 | | Paper | 9 | | Paper | 7 | | Paper | 6 | | Paper | 8.5 | | Paper | 6.5 | | Paper | 7 | | Paper | 6.5 | | Computer | 8 | | Computer | 7.5 | | Computer | 3.5 | | Computer | 3.5 | | Computer | 8.5 | | Computer | 5 | | Computer | 1 | | Computer | 5.5 | | Computer | 4 | | Computer | 7 | | Computer | 8 | | Computer | 7 | | Computer | 4 | | Computer | 5 | | Computer | 4.5 | | Computer | 5 | | Computer | 5 | | Computer | 7 | | Computer | 3 | | Computer | 7.5 | ### Explanation This dataset shows the results of assessments conducted using two distinct methods, "Paper" and "Computer." Each row represents a score obtained via one of the methods. The data can be used to analyze the effectiveness or preference of one method over the other based on the scores achieved.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 12 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman