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 countries. Sex ratios for eight study sites in northern Europe are shown below. Location of Wolf Pack % Males (Winter) Finland Finland Finland Lapland Lapland Russia Russia Russia 68 59 79 55 64 50 41 55 % Males (Summer) 49 62 61 48 55 50 50 45

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(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 Student's t.
The Student's t. We assume that d'has
We assume that d'has an approximately normal distribution.
an approximately uniform distribution. The standard normal. 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.
0.100 < P-value < 0.125 0.075 < P-value < 0.100
P-value > 0.250 0.125 < P-value < 0.250
0.050 < P-value < 0.075 P-value < 0.050
Sketch the sampling distribution and show the area corresponding to the P-value.
A plot of the sampling distribution probability curve has a horizontal axis with values from -4 to 4. The
curve enters the window from the left, just above the horizontal axis, goes up and to the right, changes
direction over approximately 0 on the horizontal axis, and then goes down and to the right before exiting
the window just above the horizontal axis. The area under the curve between 1.83 and 4 is shaded
Transcribed Image Text:(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 Student's t. The Student's t. We assume that d'has We assume that d'has an approximately normal distribution. an approximately uniform distribution. The standard normal. 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. 0.100 < P-value < 0.125 0.075 < P-value < 0.100 P-value > 0.250 0.125 < P-value < 0.250 0.050 < P-value < 0.075 P-value < 0.050 Sketch the sampling distribution and show the area corresponding to the P-value. A plot of the sampling distribution probability curve has a horizontal axis with values from -4 to 4. The curve enters the window from the left, just above the horizontal axis, goes up and to the right, changes direction over approximately 0 on the horizontal axis, and then goes down and to the right before exiting the window just above the horizontal axis. The area under the curve between 1.83 and 4 is shaded
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 countries. Sex ratios for eight study sites
in northern Europe are shown below.
Location of Wolf Pack % Males (Winter) % Males (Summer)
USE SALT
Finland
Finland
Finland
Lapland
Lapland
Russia
Russia
Russia
68
(a)
What is the level of significance?
59
79
55
64
50
41
55
49
62
61
48
55
50
50
45
It is hypothesized that in winter, "loner" males (not present in summer packs) join the pack to increase
survival rate. Use a 5% level of significance to test the claim that the average percentage of males in a
wolf pack is higher in winter. (Let d = winter - summer.)
Transcribed Image Text: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 countries. Sex ratios for eight study sites in northern Europe are shown below. Location of Wolf Pack % Males (Winter) % Males (Summer) USE SALT Finland Finland Finland Lapland Lapland Russia Russia Russia 68 (a) What is the level of significance? 59 79 55 64 50 41 55 49 62 61 48 55 50 50 45 It is hypothesized that in winter, "loner" males (not present in summer packs) join the pack to increase survival rate. Use a 5% level of significance to test the claim that the average percentage of males in a wolf pack is higher in winter. (Let d = winter - summer.)
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