p T F (l mark) An event must be independent of its complement. T F(1 mark) A par

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p T F (l mark) An event must be independent of its complement. T F(1 mark) A particular sample or subset of a population is used because convenient for the researcher is called Convenience Sampling. 1-5. 1-6. TF(1 mark) The mean of a sampling distribution of means (the mean of is equal to the true population mean. From the video- expected value and variance of a random variable. Sample mean X and the mean of means- EIX] EL-EICX,t+ ...+Xn)n]-(1/n E[X,+ ...+Xn] (Property 2: E[CX]- + E[Xn]} (Property 3: E(X+X21-E(X] + Ep ( 1/n )* {EX.] + E[KJ (I/n)* E[X+E[X.].+ E[X,(Since SRS implies identical) = (1/n )* {n* E(X'] } = E(X] = population mean. 1-7. TF (1 mark) The principles of simple random sampling are the theoretica foundation for statistical inference. 1-8. TF (1 mark) A general rule of thumb, attributed to the famous statistician George Box, is to "block what you can, randomize what you cannot." 1-9. T F(I mark) When estimating percentages, it is the absolute size of the sa which determines accuracy, not the size relative to the population. This is the sample is only a small part of the population, which is the usual case. 1 mark) That a TV program asks it's viewers to phone in or go to the website and register a (Yes/No) opinion on a certain question is an examp voluntary response sample

Explanation / Answer

Solution

(4) an event must be independent of its complement is false

If A is an event, then the complement of A, written A' , means all the possible outcomes that are not in A.

i.e P(A') = 1- P(A)

(10) True, this is a voluntary response sample as,

The researcher puts out a request for members of a population to join the sample, and people decide whether or not to be in the sample.

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