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In: Statistics and Probability

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of...

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

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 135 122 128 64 78
April 108 115 102 88 61

What is the value of the sample test statistic? (Round your answer to three decimal places.)
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

Wilderness District 1 2 3 4 5 6 7 8 9 10
B: Before highway 10.3 7.4 12.7 5.6 17.4 9.9 20.5 16.2 18.9 11.6
A: After highway 9.1 8.2 10.0 4.3 4.0 7.1 15.2 8.3 12.2 7.3

What is the value of the sample test statistic? (Round your answer to three decimal places.)

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