Chapter 71.The basis for using a normal probability distribution to approximate the sampling distribution of´and´pis:xa.Chebyshev’s theoremb.The empirical rulec.The central limit theoremd.Bayes’ theorem Show
2.The standard deviation of´pis referred to as the: Get answer to your question and much more 3.The standard deviation of a point estimator is the : Get answer to your question and much more 4.A simple random sample of sizenfrom a finite population of sizeNis a sample selected such that eachpossible sample of size: Get answer to your question and much more 5.The sampling error is the:a.same as the standard errorb.absolute value of the difference between an unbiased point estimate and the correspondingpopulation parameterc.error caused by selecting a bad sampled.standard deviation multiplied by the sample size 6.Missy Walters owns a mail-order business specializing in baby clothes. Missy is confident the dollaramounts of allher orders are normally distributed or nearly so. Assume she knows the mean andstandard deviation are $249 and $46, respectively, for allorders she receives.a.Describe the sampling distribution of´x, where´xis the mean dollar-amount of an orderfor a sample of 10 orders.b.What is the probability that a simple random sample of 30 orders will provide an estimate of thepopulation mean dollar-amount of an order that is within plus or minus $10 of the actualpopulation mean? Get answer to your question and much more 6. The population being studied is usually considered ______ if it involves an ongoing process that makeslisting or counting every element in the population impossible.a. finiteb. infinitec. skewedd. symmetricANSWER:b 7. A probability sampling method in which we randomly select one of the firstkelements and then selecteverykth element thereafter is _____.c Get answer to your question and much more 8. The standard deviation of a point estimator is the _____.a Get answer to your question and much more 9. The finite correction factor should be used in the computation ofwhenn/Nis greater than_____.c Get answer to your question and much more 10. The set of all elements of interest in a study is _____.a. set notationb. a set ofinterestc. a sampled. a populationANSWER:d Video TranscriptHello. So the businesses for using normal probability. Easy. Normal probability. Just attributions. Okay. To approximate. So I probably make the sampling distribution means, okay, the last of the sample. This, uh, the second trial limit. See you already. Okay, so remember that for so I'm just gonna say that to C. L. T. So to use the central the material. Ruminant sample size. Mm hmm. Should be. Yeah. People too. Mhm. 30. Thank you very much. Video Transcriptwe are given in a question that the basis for using a normal priority distribution to approximate sample distribution of sample means and population means is So for this, let us see the definition of each of the four options. One by one here, we can't use empirical rule because empirical rule is used to anticipate empirical rule is used to anticipate probable outcomes in normal distribution. And here the question is not asking about to anticipate the normal distribution, but it is asking us to approximate the sample distribution. So empirical rule can't be the answer of the question then we have based here um again based here um can't with the answer as based here um is used in case of conditional probability. Now we have central limit. Now central limit your um is the answer for our question. As the central limit theorem states, as a sample size gets larger, the sampling distribution of sample means approach a normal distribution. So the answer for the question is central limit Two of them. Hope you understand it. Thank you. Can the sampling distribution be approximated to a normal distribution?The Central Limit Theorem applies to a sample mean from any distribution. We could have a left-skewed or a right-skewed distribution. As long as the sample size is large, the distribution of the sample means will follow an approximate Normal distribution.
When the population has a normal distribution the sampling distribution of is normally distributed?If the sampled population is exactly normal distribution, then the sampling distribution of "x bar" is also expected to be normal regardless of the sample size. If a population is known to be normally distributed, then it follows that the sample mean must equal the population mean.
Why is the sampling distribution approximately normal?Because our sample size is greater than 30, the Central Limit Theorem tells us that the sampling distribution will approximate a normal distribution. To define our normal distribution, we need to know both the mean of the sampling distribution and the standard deviation.
Which distribution is the basis of sampling theory?A sampling distribution is a probability distribution of a statistic that is obtained through repeated sampling of a specific population. It describes a range of possible outcomes for a statistic, such as the mean or mode of some variable, of a population.
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The basis for using a normal probability distribution to approximate the sampling distribution of is
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