Exam 15: Sample Size and Statistical Theory

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The standard error of the mean is the same as the

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Consider the following four statements: 1.The distribution of the mean of a random sample approaches the normal distribution as the sample size increases, only if the parent population is normally distributed. 2-The distribution of the mean of a random sample taken from a normal population is normal, irrespective of the sample size. 3-The distribution of the mean of a random sample taken from practically any population approaches the normal distribution as the sample size increases. 4-The distribution of the mean of a random sample taken from practically any population is normal, irrespective of the sample size. Which of the above statements is/are true?

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If the population variance is 4, the sample standard deviation must be 2.

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A 95 percent confidence interval will be smaller than a 90 percent confidence interval.

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Two samples are drawn from the same population with a known variance, σ\sigma 2.If the sample sizes are 100 and 400, then the standard error of the mean of the former sample will be half that of the latter.

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