Math  /  Data & Statistics

QuestionAre the snow conditions a factor in the number of visitors at a ski resort? The table below shows data that was collected. \begin{tabular}{|c|c|c|} \hline Hard Packed & Machine Made & Powder \\ \hline 1368 & 1804 & 1840 \\ \hline 1347 & 1552 & 1945 \\ \hline 2099 & 1676 & 1834 \\ \hline 2010 & 1945 & 1924 \\ \hline 2108 & 1810 & 2132 \\ \hline 1884 & 1571 & 1884 \\ \hline 1693 & 1534 & 1904 \\ \hline 1243 & 1006 & 1828 \\ \hline 2308 & & 2828 \\ \hline \end{tabular}
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 α=0.05\alpha=0.05. H0:μ1=μ2=μ3H_{0}: \mu_{1}=\mu_{2}=\mu_{3} H1H_{1} : At least two of the means differ from each other.
1. For this study, we should use Select an answer \square
2. The test-statistic for this data = \square (Please show your answer to 3 decimal places.)
3. The pp-value for this sample == \square (Please show your answer to 4 decimal places.)
4. The pp-value is Select an answer \square α\alpha
5. Base on this, we should

Select an answer sion is that...
6. As such, the final conclusion is that... (0) hypothesis There is sufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort. There is insufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort.

Studdy Solution
1. One-way ANOVA
2. 6.1586.158
3. 0.00610.0061
4. pp-value < α\alpha
5. Reject the null hypothesis
6. There is sufficient evidence to support the claim that snow conditions are a factor in the number of visitors at a ski resort.

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