O SPS Programs In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not Iin the Student'st 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 extenstvely at different locations in the U.S. and forelgn countries. Sex ratios for eight study sites in northern Europe are shown below. Location of wolf Pack % Males (winter) % Males (Summer) Finland Finland Finland 80 59 60 65 70 63 55 48 Lapland Lapland 64 55 Russia 50 50 Russia 41 50 Russla 55 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 clalm that the average percentage of males in a wolf pack is higher in winter. (Let d = winter - summer.) (a) what is the level of significance? State the null and alternate hypotheses. Will you use a left-taled, nght-tailed, or two-tailed test? O Hại Hg = 0; H H> 0; right-taled O Ho: Ha = 0; H, Ha < 0; left-talled O Ho: Ha> 0; H: Ha 0; nght-taled O Hg! He = 0; H: Hg 0; two-talled (b) what sampling distribution will you use? what assumptions are you making? O The standard normal. We assume that d has an approximately uniform distnbution. O The Student's t. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approxmately normal distribution. what is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the p.value. OPvalue> 0.250 O 0.125 < P-value <0.25o O 0.050 < P-value 0.125 O 0.025
O SPS Programs In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not Iin the Student'st 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 extenstvely at different locations in the U.S. and forelgn countries. Sex ratios for eight study sites in northern Europe are shown below. Location of wolf Pack % Males (winter) % Males (Summer) Finland Finland Finland 80 59 60 65 70 63 55 48 Lapland Lapland 64 55 Russia 50 50 Russia 41 50 Russla 55 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 clalm that the average percentage of males in a wolf pack is higher in winter. (Let d = winter - summer.) (a) what is the level of significance? State the null and alternate hypotheses. Will you use a left-taled, nght-tailed, or two-tailed test? O Hại Hg = 0; H H> 0; right-taled O Ho: Ha = 0; H, Ha < 0; left-talled O Ho: Ha> 0; H: Ha 0; nght-taled O Hg! He = 0; H: Hg 0; two-talled (b) what sampling distribution will you use? what assumptions are you making? O The standard normal. We assume that d has an approximately uniform distnbution. O The Student's t. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The Student's t. We assume that d has an approxmately normal distribution. what is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the p.value. OPvalue> 0.250 O 0.125 < P-value <0.25o O 0.050 < P-value 0.125 O 0.025
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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Also after answering all the questions shown could you also sketch the sampling distribution and show the area corresponding to the p-value
Transcribed Image Text:O SPS Programs
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not In the Student'st table, use the closest d.f. that is smaller. In some situations, this cholce 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 forelgn countries. Sex ratios for elght study sites in northern Europe are shown below.
% Males (Summer)
Location of Wolf Pack
Finland
Finland
Finland
% Males (Winter)
80
59
60
65
70
63
55
48
Lapland
Lapland
n
64
55
Russia
50
50
Russla
41
50
Russla
55
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 clalm that the average percentage of males in a wolf pack is higher in winter. (Let d = winter - summer.)
(a) What is the level of significance?
State the null and alternate hypotheses. Will you use a left-tailed, night-tailed, or two-tailed test?
O Hại Hg = 0; H Hg > 0; right-taled
O Ho: Ha = 0; H Ha <0; left-talled
O Hoi Ha> 0; H,: H-0; night-taled
O Ho He = 0; H: Hg 0; two-talled
(b) What sampling distribution will you use? what assumptions are you making?
O The standard normal. We assume that d has an approximately uniform distnbution.
O The Student's t. We assume that d has an approximately uniform distribution.
O The standard normal. We assume that d has an approximately normal distribution.
O The Student's t. We assume that d has an approximately normal distribution.
What is the value of the sample test statistic (Round your answer to three decimal places.)
(c) Find (or estimate) the p.value.
OPvalue> 0.250
O 0.125 < P-value <0.25o
O 0.050 < P-value <0.125
O 0.025 < p.value 0.050
O 0.00s < P-value <o.025
OPvalue < 0.005
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