True or false: Most random samples give the same value for the sample mean, x¯.
FalseThe sample mean, x¯, varies from sample to sample.
False. In reality, samples that are randomly selected from a population may vary in their values of the sample mean (x¯). The magnitude of this variation depends on the variability of the population and the sample size. As the sample size increases, the sample means tend to get closer to the population mean. However, random variation can still occur even with a large sample size. Therefore, it is important to take into account the variability of the sample mean when interpreting statistical results.
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