In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in theStudent'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 smallamount 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 atdifferent 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)Finland8869Finland3539Finland8365Lapland5548Lapland6455Russia5050Russia4150Russia5545It 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. (Letd = winter - summer.)(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?Ho: Ma - 0; H,: Hg < 0; left-tailedO Ho: Ha - 0; H,: H > 0; right-tailedO Ho: Ha > 0; H: Ha - 0; right-tailedHo: Ha- 0; H: Hg 0; two-tailed(b) What sampling distribution will you use? What assumptions are you making?O The standard normal. We assume that d has an approximately uniform distribution.O The standard normal. We assume that d has an approximately normal distribution.The Student's t. We assume that d has an approximately uniform 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.O P-value > 0.250O 0.125 < P-value < 0.250O 0.100 < P-value < 0.125O 0.075 < P-value < 0.100O 0.050 < P-value < 0.075O P-value < 0.050Sketch the sampling distribution and show the area corresponding to the P-value.A plot of the sampling distribution probability curve has ahorizontal axis with values from -4 to 4. The curve enters thewindow from the left, just above the horizontal axis, goes up andto the right, changes direction over approximately 0 on thehorizontal axis, and then goes down and to the right before exitingthe window just above the horizontal axis. The area under theO-4-2QO curve between -1.768 and 4 is shaded.-2(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. Finland3539Finland8365Lapland5548Lapland6455Russia5050Russia4150Russia5545It 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. (Letd= winter - summer.)(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?O Ho: Hg- 0; H: H< 0; left-tailedO Ho: Ha- 0; H,: g > 0; right-tailedO Họ: Hg > 0; H,: M- 0; right-tailedO Ho: Ha- 0; H,: g* 0; two-tailed(b) What sampling distribution will you use? What assumptions are you making?O The standard normal. We assume that d has an approximately uniform distribution.The standard normal. We assume that d has an approximately normal distribution.O The Student's t. We assume that d has an approximately uniform 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.O P-value > 0.250O 0.125 < P-value < 0.2500.100 < P-value < 0.125OO 0.075 < P-value < 0.100O 0.050 < P-value < 0.075O P-value < 0.050Sketch the sampling distribution and show the area corresponding to the P-value.-22A plot of the sampling distribution probability curve has ahorizontal axis with values from -4 to 4. The curve enters thewindow from the left, just above the horizontal axis, goes up andto the right, changes direction over approximately o on thehorizontal axis, and then goes down and to the right before exitingthe window just above the horizontal axis. The area under thecurve between -4 and -1.768 as well as the area under the curveDO between 1.768 and 4 are both shaded.(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?O At the a - 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a- 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) State your conclusion in the context of the application.O Reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves in winter ishigher.O Fail to reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves inwinter is higher.O Fail to reject the null hypothesis, there is sufficient evidence to claim that the average percentage of male wolves inwinter is higher.O Reject the null hypothesis, there is insufficient evidence to claim that the average percentage of male wolves in winteris higher.

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Description: In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in theStudent's t-table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-val

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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) Finland 88 69 Finland 35 39 Finland 83 65 Lapland 55 48 Lapland 64 55 Russia 50 50 Russia 41 50 Russia 5 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

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) Finland 88 69 Finland 35 39 Finland 83 65 Lapland 55 48 Lapland 64 55 Russia 50 50 Russia 41 50 Russia 5 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

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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