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for the one-sided alternative The calculator answer is P = 0112 Had the alternative been two-sided, the correct answer would have been (b) 2 The correct answer is (c) If the sample size conditions are met, it is not necessary that the samples be drawn from a normal population 3 The correct answer is (a) Often you will see the null written as H0: p = 07 rather than H0: p 07 Either is correct 4 The correct answer is (e) If we can assume that the variances are equal, then df = n1 + n2 2 = 12 + 15 2 = 25 A conservative estimate for the number of degrees of freedom is df = min {n1 1, n2 1} = min {12 1, 25 1} = 11 For a given test statistic, the greater the number of degrees of freedom, the lower the P-value 5 The correct answer is (b) In this course, we consider confidence intervals to be two-sided A two-sided -level significance test will reject the null hypothesis whenever the hypothesized value of the parameter is not contained in the C = 1 level confidence interval 6 (c) is not one of the required steps You can state a significance level that you will later compare the P-value with, but it is not required You can simply argue the strength of the evidence against the null hypothesis based on the P-value alone small values of P provide evidence against the null

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Population, ecosystem, exponential growth, carrying capacity, environmental resistance, r- and K-adapted species, immigration, emigration, mortality, life span, genetic drift

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In general, most people think of human populations when they hear the word population However, to understand a population, you have to think in terms of groupings A grouping of individuals of the same species located in the same geographical area is known as a population This concept is applied to humans, prairie dogs, or sunflowers Several populations of the same species in the same area are known as a community When the environment is added into the overall equation, various populations and communities are considered an ecosystem However, plant and animal species are constantly changing, moving, and dying off These changes are part of the ecological succession described in 9 Besides increasing birth rates or germination, populations also grow when organisms enter or immigrate into an ecosystem In the case of seeds, they may be transported by birds

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7 (c) is the most correct response (a) is incorrect because t-procedures do not work well with, for example, small samples that come from non-normal populations (b) is false since the numerical value of t is, like z, affected by outliers t-procedures are generally OK to use for samples of size 40 or larger, but this is not what is meant by robust (so (d) is incorrect), (e) is not correct since the t-distribution is more variable than the standard normal It becomes closer to z as sample size increases but is as accurate only in the limiting case 8 The correct answer is (d) The alternative hypothesis, H0 : m = m0, would require a negative value of z to be evidence against the null Because the given value is positive, we conclude that the finding is in the wrong direction to support the alternative and, hence, is not going to be significant at any level

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or on the wind Some animals may fly or swim into a new area, while others are hitchhikers on the fur or feathers of another species or carried in a ship s bilge water

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