Exam 7: Sampling and Sampling Distributions

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Estimation is the process of inferring the value of an unknown population parameter using data from a random sample

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A simple random sample is one where each member of the population has a known chance (this may differ from one member to another)or probability of being chosen.

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Ideally,we prefer estimates that have large standard errors.

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When we sample less than 5% of the population,the finite population correction factor;fpc = (Nn)/(N1)\sqrt { ( N - n ) / ( N - 1 ) } ,is used to modify the formula for the standard error of the sample mean.

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If systematic sampling is chosen as the sampling technique,it is probably because:

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The standard error of sample mean xx is large when the observations in the population are spread out (large σ\sigma ),but that the standard error can be reduced by taking a smaller sample.

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The approximate 95% confidence interval for a population mean is:

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The Central Limit Theorem (CLT)says that as long as the sample size is reasonably large,there is about a 95% chance that the magnitude of the sampling error for the mean will be no more than two standard errors.

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A sample of size 20 is selected at random from a population of size N.If the finite population correction factor is 0.9418,then N must be 169.

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Which of the following statements correctly describe estimation?

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Sampling error is evident when:

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A probability sample is a sample in which the sampling units are chosen from the population by means of a random mechanism such as a random number table.

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The averaging effect means that as you average more and more observations from a given distribution,the variance of the average

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The probability of being chosen in a simple random sample of size n from a population of size N is:

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Potential sample members,called sampling units,are:

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A sample chosen in such a way that every possible subset of same size has an equal chance of being selected is called a(n)

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Measurement error occurs when:

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A list of all members of the population is called a:

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Simple random samples are typically used in real applications.

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One obvious advantage of stratified sampling is that we obtain separate estimates within each stratum - which we would not obtain if we took a simple random sample from the entire population.A more important advantage is that we can increase the accuracy of the resulting population estimates by using appropriately defined strata.

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