In: Statistics and Probability
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.)