Which hypothesis test needs to be employed here? z test one-sample t test Odependent t test independent t test Pearson's r

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The image presents a small data table followed by a question about hypothesis testing. 

**Data Table:**
- The table lists names alongside two numbers each, potentially representing scores or measurements. 
  - Bubba: 61, 79
  - Amber: 72, 86

**Question:**
- "Which hypothesis test needs to be employed here?"

**Answer Choices:**
- ○ z test
- ○ one-sample t test
- ○ dependent t test
- ○ independent t test
- ○ Pearson’s r

There are no graphs or diagrams in this image. The context suggests a requirement to determine an appropriate statistical test for the data displayed.
Transcribed Image Text:The image presents a small data table followed by a question about hypothesis testing. **Data Table:** - The table lists names alongside two numbers each, potentially representing scores or measurements. - Bubba: 61, 79 - Amber: 72, 86 **Question:** - "Which hypothesis test needs to be employed here?" **Answer Choices:** - ○ z test - ○ one-sample t test - ○ dependent t test - ○ independent t test - ○ Pearson’s r There are no graphs or diagrams in this image. The context suggests a requirement to determine an appropriate statistical test for the data displayed.
**Title: Exploring the Relationship Between Age and Golf Performance**

A researcher is investigating the connection between a golfer's age and their performance on the course. The claim is that golf performance tends to improve with age—meaning, as a person grows older, their golf scores decrease (where a lower score indicates better performance). To explore this hypothesis, the researcher randomly selected eight golfers from a local golf course to record their ages and most recent golf scores. The collected data is organized below:

| Golfer’s Name | Age (years) | Golf Score |
|---------------|-------------|------------|
| Diego         | 23          | 92         |
| Tiger         | 14          | 112        |
| Bogart        | 38          | 77         |
| Marilyn       | 43          | 84         |
| Jennifer      | 49          | 81         |
| Mitch         | 36          | 72         |
| Bubba         | 61          | 79         |
| Amber         | 72          | 86         |

**Data Explanation:**

- **Age (Variable 1):** Represents the golfer's age in years.
- **Golf Score (Variable 2):** Indicates the golfer's most recent score. In golf, lower scores signify better performance.

**Discussion:**

The goal is to determine if there is a statistically significant relationship between age and golf performance using hypothesis testing. The appropriate test to employ here needs to be considered—options include a z-test or another relevant statistical method.

**Hypothesis Test:**

- Which hypothesis test should be employed?
  - o z test

The table and information provided will aid in analyzing whether older age correlates with better golf performance, as suggested by lower scores.

**Note for Learners:**

Understanding the proper application of statistical tests in relation to the data can illuminate trends and relationships. It's important to choose a test suitable for the data's characteristics and the research question at hand.
Transcribed Image Text:**Title: Exploring the Relationship Between Age and Golf Performance** A researcher is investigating the connection between a golfer's age and their performance on the course. The claim is that golf performance tends to improve with age—meaning, as a person grows older, their golf scores decrease (where a lower score indicates better performance). To explore this hypothesis, the researcher randomly selected eight golfers from a local golf course to record their ages and most recent golf scores. The collected data is organized below: | Golfer’s Name | Age (years) | Golf Score | |---------------|-------------|------------| | Diego | 23 | 92 | | Tiger | 14 | 112 | | Bogart | 38 | 77 | | Marilyn | 43 | 84 | | Jennifer | 49 | 81 | | Mitch | 36 | 72 | | Bubba | 61 | 79 | | Amber | 72 | 86 | **Data Explanation:** - **Age (Variable 1):** Represents the golfer's age in years. - **Golf Score (Variable 2):** Indicates the golfer's most recent score. In golf, lower scores signify better performance. **Discussion:** The goal is to determine if there is a statistically significant relationship between age and golf performance using hypothesis testing. The appropriate test to employ here needs to be considered—options include a z-test or another relevant statistical method. **Hypothesis Test:** - Which hypothesis test should be employed? - o z test The table and information provided will aid in analyzing whether older age correlates with better golf performance, as suggested by lower scores. **Note for Learners:** Understanding the proper application of statistical tests in relation to the data can illuminate trends and relationships. It's important to choose a test suitable for the data's characteristics and the research question at hand.
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