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1. Which theorem or law is correct for supporting the notion that as sample size increases the distribution of the sample mean approaches a normal distribution? A) The Law of Large Numbers only B) The Central Limit Theorem only C) Both The Law of Large Numbers and The Central Limit Theorem 2. Is the given percent a statistic or a parameter? 75% of all students at a school are in favor of more bicycle parking spaces on campus. A) Statistic B) Parameter 3. Many undergraduate students are thinking about getting a graduate degree. Do male and female students have equal opinions about this? A survey of undergraduate students at public universities in the state of California revealed the following results: Out of 265 female students, 131 were seriously thinking about applying to graduate school. Out of 233 male students, 130 were seriously thinking about applying to graduate school. We wish to compare the proportions of male and female students who are thinking about getting a graduate degree by calculating a confidence interval for the difference between males and females. What is the correct notation for the difference (130/233) - (131/265)? A) μ 1 - μ 2 B) x-bar 1 - x-bar 2 C) ρ 1 - ρ 2 D) ρ-hat 1 - ρ-hat 2 4. Which one of the following statements is false ? A) The standard error measures the variability of a population parameter. B) The standard error of a sample statistic measures, roughly, the average difference between the values of the statistic and the population parameter. C) Assuming a fixed value of s = sample standard deviation, the standard error of the mean decreases as the sample size increases.
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