134. Lesley E. Tan investigated the relationship between left-handedness vs. right-handedness and motor competence in preschool children. Random samples of 41 left-handed preschool children and 41 right-handed preschool children were given several tests of motor skills to determine if there is evidence of a difference between the children based on this experiment. The experiment produced the means and standard deviations shown Table 10.36. Determine the appropriate test and best distribution to use for that test. Left-handed Right-handed Sample size 41 Sample mean 97.5 Sample standard deviation 17.5 80 40 81 79 41 98.1 19.2 I will go ahead and tell you this should be a two independent means, Student's t- distribution hypothesis test. What are the "conservative" degrees of freedom (the type that WeBWork kept using)?

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### Analysis of Left-Handedness and Right-Handedness in Preschool Children

**Research Context:**
Lesley E. Tan conducted an investigation into the relationship between left-handedness, right-handedness, and motor competence among preschool children. The study involved random samples, comprising 41 left-handed and 41 right-handed preschool children. The children were subjected to various motor skills tests to determine if there was a notable difference based on handedness.

**Experimental Data:**

The results of the study are summarized below:

|                         | Left-handed | Right-handed |
|-------------------------|-------------|--------------|
| **Sample size**         | 41          | 41           |
| **Sample mean**         | 97.5        | 98.1         |
| **Sample standard deviation** | 17.5   | 19.2        |

**Statistical Analysis:**

The appropriate statistical test for this data is a two independent means, Student's t-distribution hypothesis test.

**Degrees of Freedom:**

When calculating the degrees of freedom for this test, the goal is to determine the “conservative” value. The choices for the degrees of freedom are:

- 80
- 40
- 81
- 79

The appropriate degrees of freedom, often used in statistical software like WeBWorK, needs to be selected for rigorous analysis.
Transcribed Image Text:### Analysis of Left-Handedness and Right-Handedness in Preschool Children **Research Context:** Lesley E. Tan conducted an investigation into the relationship between left-handedness, right-handedness, and motor competence among preschool children. The study involved random samples, comprising 41 left-handed and 41 right-handed preschool children. The children were subjected to various motor skills tests to determine if there was a notable difference based on handedness. **Experimental Data:** The results of the study are summarized below: | | Left-handed | Right-handed | |-------------------------|-------------|--------------| | **Sample size** | 41 | 41 | | **Sample mean** | 97.5 | 98.1 | | **Sample standard deviation** | 17.5 | 19.2 | **Statistical Analysis:** The appropriate statistical test for this data is a two independent means, Student's t-distribution hypothesis test. **Degrees of Freedom:** When calculating the degrees of freedom for this test, the goal is to determine the “conservative” value. The choices for the degrees of freedom are: - 80 - 40 - 81 - 79 The appropriate degrees of freedom, often used in statistical software like WeBWorK, needs to be selected for rigorous analysis.
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