Clearly show your work on all questions to receive full credit. A correct answer

Question

Clearly show your work on all questions to receive full credit. A correct answer without supporting work will not receive ful credit. Each response is 2pts unless otherwise noted 1. (3pts ea) True or False. State a counter-example demonstrating why the statement is false. a. It is usually better to draw a sample than to take a census T F b. If the population of interest doubles in size, your sample must also double in size in order to retain the same level of precision. c. A larger sample size can offset problems with bias in selecting the sample. T F d. The probability assignment rule says the probabilities of any event must be between 0 and 1. e. The following is a legitimate probability assignment: 0.2, 0.4, 0.5, 0.1. T F f. Events that are mutually exclusive (i.e., disjoint) are also independent. g. If a population has a bimodal or skewed Central Limit Theorem for the sample distribution of the mean. distribution, you cannot apply the h. The success/failure condition says there must be at least 10 "successes" and 10 "failures" in the data for the Central Limit Theorem to apply to the sampling distribution of a proportion. T F 1 of 5

Explanation / Answer

A) True - Because census is expensive, time consuming and difficult

B) False - The precision level depends on the parameter measured as well

C) True

D) True

E) False - Sum of probabilities is not 1

G) False - Central limit can be applied to all distributions, irrespective of the type of original distribution

H) True

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