29. The sampling distribution of a statistic is A) the probability that we obtai

Question

29. The sampling distribution of a statistic is A) the probability that we obtain C) the distribution of values taken by a population. D) the extent to which the sample lity that we obtain the statistic in repeated random samples. hat determines whether randomization was effective. n of values taken by a statistic in all possible samples of the same size from the same 30. The central limit theorem says t *tent to which the sample results differ systematically from the truth. limit theorem says that when a simple sample of size n is drawn from any population with mean ju and standard deviation o, then when n is sufficiently large A) the standard deviation of the sample mean is o/n. B) the distribution of the population is exactly normal. C) the distribution of the sample mean is approximately normal. D) the distribution of the sample mean is exactly normal, 31. If Xhas a binomial distribution with 20 trials and a mean of 5, then the success probability p is A) 0.25. B) 0.50. C) 0.75. D) not known without taking a sample. 32. In an instant lottery, your chances of winning are 0.2. If you play the lottery five times and outcomes are independent, the probability that you win at most once is A) 0.0819. B) 0.2. C) 0.4096. D) 0.7373. 33. A college basketball player makes 80% of his free throws. At the end of a game, his team is losing by two points. He is fouled attempting a 3-point shot and is awarded three free throws. Assuming each free throw is independent, what is the probability that he makes at least two of the free throws? A) 0.89 B) 0.80 C) 0.64 D) 0.384 34. A 99% confidence interval for the mean u of a population is computed from a random sample and found to be 6 + 3. We may conclude A) there is a 99% probability that u is between 3 and 9. B) there is a 99% probability that the true mean is 6, and there is a 99% chance that the true margin of error is 3. C) if we took many, many additional random samples, and from each computed a 99% confidence interval for pu, approximately 99% of these intervals would contain zu. D) all of the above. Use the following to answer question 35: A medical researcher treats 100 subjects with high cholesterol with a new drug. The average decrease in cholesterol level is T = 80 after two months of taking the drug. Assume that the decrease in cholesterol after two months of taking the drug follows a normal distribution, with unknown mean u and standard deviation o = 20. 35. A 90% confidence interval for u is A) 80 + 2.00. B) 80 + 3.29. C) 80 + 3.92. D) 80 + 32.90. 36. You plan to construct a confidence interval for the mean u of a normal population with (known) standard deviation o. Which of the following will reduce the size of the margin of error? A) Use a lower level of confidence. C) Reduce o. B) Increase the sample size. D) All of the above. Page 5

Explanation / Answer

29. The sampling distribution of statistic is defined as the distribution of all the possible sample of same size. Hence,

Option C is correct.

30. Option C is correct.

31. Option A is correct.

32. Option D is correct.

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