Suppose μ = 50 and σ= 10 for a population.In a sample where n = 100 is randomly taken,95% of all possible sample means will fall between 48.04 and 51.96.

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Quizplus · Accepted Answer

This statement is true based on the central limit theorem, which states that as sample size increases, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. In this case, with a population mean of 50 and a population standard deviation of 10, the standard deviation of the sample means is 10/sqrt(100) = 1, and using the 95% confidence interval formula for a normal distribution, we get the range of 48.04 to 51.96. Therefore, we can say with 95% confidence that the true population mean falls within this range.

Suppose μ = 50 and σ = 10 for a Population.In

Suppose μ = 50 and σ= 10 for a Population.In