A psychologist theorized that people can hear better when they have just eaten a large meal. Six individuals were randomly assigned to eat either a large meal or a small meal. After eating the meal, their hearing was tested. The hearing ability scores (high numbers = greater ability) are as follows. Big Meal Group Small Meal Group Subject Hearing Subject Hearing A 22 19 25 E 23 C 25 F 21 Using the .05 alpha level, do the results support the psychologists theory?

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### Exploring the Relationship Between Meal Size and Hearing Ability

A psychologist hypothesized that individuals might experience improved hearing capabilities after consuming a large meal. To test this hypothesis, six participants were randomly assigned to eat either a large or a small meal. Following the meal, their hearing ability was evaluated, with scores indicating higher numbers as greater hearing ability. The data collected is presented below:

#### Hearing Ability Scores

**Big Meal Group:**
- **Subject A:** Hearing ability score of 22
- **Subject B:** Hearing ability score of 25
- **Subject C:** Hearing ability score of 25

**Small Meal Group:**
- **Subject D:** Hearing ability score of 19
- **Subject E:** Hearing ability score of 23
- **Subject F:** Hearing ability score of 21

### Analysis Task

Using an alpha level of 0.05, analyze whether the results support the psychologist's theory that a larger meal enhances hearing ability. Consider statistical tests to compare the means of the two groups and assess the validity of the hypothesis.
Transcribed Image Text:### Exploring the Relationship Between Meal Size and Hearing Ability A psychologist hypothesized that individuals might experience improved hearing capabilities after consuming a large meal. To test this hypothesis, six participants were randomly assigned to eat either a large or a small meal. Following the meal, their hearing ability was evaluated, with scores indicating higher numbers as greater hearing ability. The data collected is presented below: #### Hearing Ability Scores **Big Meal Group:** - **Subject A:** Hearing ability score of 22 - **Subject B:** Hearing ability score of 25 - **Subject C:** Hearing ability score of 25 **Small Meal Group:** - **Subject D:** Hearing ability score of 19 - **Subject E:** Hearing ability score of 23 - **Subject F:** Hearing ability score of 21 ### Analysis Task Using an alpha level of 0.05, analyze whether the results support the psychologist's theory that a larger meal enhances hearing ability. Consider statistical tests to compare the means of the two groups and assess the validity of the hypothesis.
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