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Assume that the distribution of differences d is mound shaped and symmetric. Ecology: Rocky Mountain National Park The following is based on informa-tion taken from

Assume that the distribution of differences d is mound shaped and symmetric.

Ecology: Rocky Mountain National Park The following is based on informa-tion taken from Winter Wind Studies in Rocky Mountain National Park by D. E. Glidden (Rocky Mountain Nature Association). At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below

Weather

Station

1 2 3 4 5
January 139 122 126 64 78
April 104 113 100 88 61

Does this information indicate that the peak wind gusts are higher in January than in April? Use a = 0.01.

  1. What is the level of significance? State the null and alternate hypothesis. Will you use a left-tailed, right-tailed, or two-tailed test?
  2. What sampling distribution will you use? What assumptions are you making? Compute the value of the sample test statistic.
  3. Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value

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