29. The sampling distribution of a statistic is A) the probabili the mechanism t

Question

29. The sampling distribution of a statistic is A) the probabili the mechanism that determines whether randomization was effective. population of values taken by a statistic in all possible samples of the same size from the same o which the sample results differ systematically from the truth. It theorem says that when a simple sample of size n is drawn from any population with 30. The central limi mean and standard deviation c, then when n is sufficiently large A) the standard deviation of the sample mean is aim. 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 X has a binomial distribution with 20 trials and a mean of 5, then the success probability p is C) 0.75 D) not known without taking a sample A) 0.25 B) 0.50 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 At the end of a game, his team is losing by 33. A college basketball player makes 80% ofhis free throws. 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 A) 0.89 he makes at least two of the free throws? C) 0.64 D) 0.384 B) 0.80 and 34, A 99% confidence interval for the mean of a population is computed from a random sample found to be 6 ± 3·We may conclude A) there is a 99% probability that is between 3 and 9 n 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 , approximately 99% of these intervals would contain 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 x-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 and standard deviation = 20 35, A 90% confidence interval for is A) 80 ± 2.00. B) 80 ± 3.29 C) 80 ± 3.92 ± 32.90. 36.You plan to construct a confidence interval for the mean of a normal population with (known) standard deviation Which of the following will reduce the size of the margin of error? A) Use a lower level of confidence. B) Increase the sample size. C) Reduce D) All of the above. Page 5

Explanation / Answer

31.
p = 5/20 = 1/4 = 0.25 (Option A)

32.
P(X=0) + P(X=1)
= 0.8^5 + 5C1*0.2*(0.8)^4
= 0.73728 (Option D)

33.
P(X=2) + P(X=3)
= 3C2*0.8^2*0.2 + 0.8^3
= 0.896 (Option A)

34.
Option D - All of the above

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