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 | 124 | 129 | 128 | 64 | 78 |
April | 98 | 96 | 100 | 88 | 61 |
Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. (Let d = January − April.)
(a) What is the level of significance?
State the null and alternate hypotheses. Will you use a
left-tailed, right-tailed, or two-tailed test?
H0: μd > 0; H1: μd = 0; right-tailedH0: μd = 0; H1: μd < 0; left-tailed H0: μd = 0; H1: μd > 0; right-tailedH0: μd = 0; H1: μd ≠ 0; two-tailed
(b) What sampling distribution will you use? What
assumptions are you making?
The standard normal. We assume that d has an approximately normal distribution.The standard normal. We assume that d has an approximately uniform distribution. The Student's t. We assume that d has an approximately normal distribution.The Student's t. We assume that d has an approximately uniform distribution.
What is the value of the sample test statistic? (Round your
answer to three decimal places.)
(c) Find (or estimate) the P-value. (Round your
answer to four decimal places.)
The statistical software output for this problem is :
(a)
H0: μd = 0; H1: μd > 0; right-tailed
(b)
The Student's t. We assume that d has an approximately normal distribution.
Test statistics = 1.549
(c)
P-value = 0.0982
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...
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 smalier. 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...
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. A survey of houses and traditional hogans was made in a number of different regions of the modern Navajo Indian Reservation. The following table is the...
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. In environmental studies, sex ratios are of great importance. Wolf society, packs, and ecology have been studied extensively at different locations in the U.S. and foreign...
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. In environmental studies, sex ratios are of great importance. Wolf society, packs, and ecology have been studied extensively at different locations in the U.S. and foreign...
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. Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people...
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./. that is smaller. In some situations, this choice of d.l. may increase the P-value by a small amount and therefore produce a slightly more conservative answer Is fishing better from a boat or from the shore? Pyramid Lake is located on the Palute Indian Reservation in Nevada, Presidents, movie stars, and people...
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom dl. not in the Student's t table, use the dosest d.. that is smaller, In some situations, this choice of d.l. may increase the P-value by a small amount and therefore produce a slightly more "conservative answer. Is fishing better from a boat or from the shore? Pyramid Lake is located on the Palute Indian Reservation in Nevada. Presidents, movie stars, and people...
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 of that is smaller In some situations, this choice of d.l. may increase the P-value by a small amount and therefore produce a slightly more "conservative answer A survey of houses and traditional hogans was made in a number of different regions of the modern Navajo Indian Reservation. The following table is the...
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d./. not in the Student's table, use the closest d.. that is smaller. In some situations, this choice of d... may increase the P- value by a small amount and therefore produce a slightly more "conservative answer Is fishing better from a boat or from the shore? Pyramid Lake is located on the Palute Indian Reservation in Nevada. Presidents, movie stars, and people...