A researcher wanted to know which local brewery had the best IPA. Each participant tried a sample from all three different breweries (Ore Dock, Black Rocks, and Barrel + Beam) and was asked to rate each one on a scale of 0-100. Use the six steps of hypothesis testing to determine if there was a significant effect of brewery on IPA popularity ratings.

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What is the critical value for the F statistic for p level of .05 ? What is the effect size? Should we fail to reject the null hypothesis or reject the null hypotheses?
**Research Study on IPA Popularity Ratings**

A researcher aimed to determine which local brewery had the best IPA. Each participant sampled beers from three different breweries (Ore Dock, Black Rocks, and Barrel + Beam) and rated each one on a scale from 0 to 100. The study utilized the six steps of hypothesis testing to assess if there was a significant effect of the brewery on IPA popularity ratings.

**Participant Ratings:**

| Participant | Ore Dock (low) | Black Rocks (mid) | Barrel + Beam (high) |
|-------------|----------------|-------------------|----------------------|
| 1           | 40             | 30                | 53                   |
| 2           | 42             | 45                | 65                   |
| 3           | 30             | 38                | 64                   |
| 4           | 37             | 32                | 43                   |
| 5           | 23             | 28                | 38                   |

This table displays the scores given by each participant for the three breweries. Each brewery is categorized based on a perceived qualitative level, from low (Ore Dock), mid (Black Rocks), to high (Barrel + Beam). The scores reflect the participants' evaluations of the IPAs from each brewery.
Transcribed Image Text:**Research Study on IPA Popularity Ratings** A researcher aimed to determine which local brewery had the best IPA. Each participant sampled beers from three different breweries (Ore Dock, Black Rocks, and Barrel + Beam) and rated each one on a scale from 0 to 100. The study utilized the six steps of hypothesis testing to assess if there was a significant effect of the brewery on IPA popularity ratings. **Participant Ratings:** | Participant | Ore Dock (low) | Black Rocks (mid) | Barrel + Beam (high) | |-------------|----------------|-------------------|----------------------| | 1 | 40 | 30 | 53 | | 2 | 42 | 45 | 65 | | 3 | 30 | 38 | 64 | | 4 | 37 | 32 | 43 | | 5 | 23 | 28 | 38 | This table displays the scores given by each participant for the three breweries. Each brewery is categorized based on a perceived qualitative level, from low (Ore Dock), mid (Black Rocks), to high (Barrel + Beam). The scores reflect the participants' evaluations of the IPAs from each brewery.
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