Are the snow conditions a factor in the number of visitors at a ski resort? The table below shows data that was collected. Hard Packed Machine Made Powder 1757 1614 1975 2790 1837 1838 1032 2052 1558 1608 1466 1889 2405 1933 1915 1862 1507 1922 2199 1124 1708 1475 1583 2787 1350 2776 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.01. Ho: µi = 42 = µ3 H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer v 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer | hypothesis

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## Are the Snow Conditions a Factor in the Number of Visitors at a Ski Resort?

### Data Collection

The table below presents data on the number of visitors under three different snow conditions:

| Hard Packed | Machine Made | Powder |
|-------------|--------------|--------|
| 1837        | 1757         | 1614   |
| 1838        | 1032         | 1975   |
| 2052        | 1558         | 2790   |
| 1608        | 1466         | 1889   |
| 2405        | 1933         | 1915   |
| 1862        | 1507         | 1922   |
| 2199        | 1124         | 1708   |
| 1475        | 1583         | 2787   |
| 1350        |              | 2776   |

### Analysis

Assumptions:
- Distributions are normal.
- Populations have equal standard deviations.
- Data collected independently and randomly.
- Level of significance (\(\alpha\)) = 0.01.

### Hypotheses

- **Null Hypothesis (\(H_0\))**: \(\mu_1 = \mu_2 = \mu_3\)
- **Alternative Hypothesis (\(H_1\))**: At least two of the means differ from each other.

### Statistical Testing

1. **Select a Test**: Choose the appropriate statistical test.
   
2. **Calculate Test-Statistic**: Fill in the test-statistic value to 3 decimal places. 

3. **Determine P-value**: Provide the p-value to 4 decimal places.

4. **P-value Comparison**: Decide if the p-value is less than or greater than \(\alpha\).

5. **Drawing Conclusions**: Select an appropriate hypothesis based on the p-value comparison.

### Conclusion

6. **Final Decision**:
   - **Option 1**: There is insufficient evidence to support the claim that snow conditions are a factor in the number of visitors at a ski resort.
   - **Option 2**: There is sufficient evidence to support the claim that snow conditions are a factor in the number of visitors at a ski resort.

Complete the analysis to reach a conclusion on whether snow conditions significantly influence visitor numbers.
Transcribed Image Text:## Are the Snow Conditions a Factor in the Number of Visitors at a Ski Resort? ### Data Collection The table below presents data on the number of visitors under three different snow conditions: | Hard Packed | Machine Made | Powder | |-------------|--------------|--------| | 1837 | 1757 | 1614 | | 1838 | 1032 | 1975 | | 2052 | 1558 | 2790 | | 1608 | 1466 | 1889 | | 2405 | 1933 | 1915 | | 1862 | 1507 | 1922 | | 2199 | 1124 | 1708 | | 1475 | 1583 | 2787 | | 1350 | | 2776 | ### Analysis Assumptions: - Distributions are normal. - Populations have equal standard deviations. - Data collected independently and randomly. - Level of significance (\(\alpha\)) = 0.01. ### Hypotheses - **Null Hypothesis (\(H_0\))**: \(\mu_1 = \mu_2 = \mu_3\) - **Alternative Hypothesis (\(H_1\))**: At least two of the means differ from each other. ### Statistical Testing 1. **Select a Test**: Choose the appropriate statistical test. 2. **Calculate Test-Statistic**: Fill in the test-statistic value to 3 decimal places. 3. **Determine P-value**: Provide the p-value to 4 decimal places. 4. **P-value Comparison**: Decide if the p-value is less than or greater than \(\alpha\). 5. **Drawing Conclusions**: Select an appropriate hypothesis based on the p-value comparison. ### Conclusion 6. **Final Decision**: - **Option 1**: There is insufficient evidence to support the claim that snow conditions are a factor in the number of visitors at a ski resort. - **Option 2**: There is sufficient evidence to support the claim that snow conditions are a factor in the number of visitors at a ski resort. Complete the analysis to reach a conclusion on whether snow conditions significantly influence visitor numbers.
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