Which of the following statements is true For any population, the sampling distr

Question

Which of the following statements is true For any population, the sampling distributions of sample means and the sampling distribution of sample ranges will have the same shape provided the same sample size is used in both distributions. In general, the term "standard error" is the name only used for the standard deviation of the sampling distribution of sample means. The histogram for a population and the histogram for a sampling distribution of a sample mean have the same shape. The sampling distribution of sample means is normal for samples of all sizes, provided that the parent sampled population has a normal distribution.

Explanation / Answer

c) The histogram for a population and the histogram for asampling distribution of a sample mean have the same shape, becuasewhen we draw a large sample, the histogram of the individualobservations will look like the population histogram from which theobservations were drawn. However, the way the sample mean variesaround the population mean can be described by the normaldistribution.

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