Question

Suppose a random sample of n = 96 measurements is selected from a population with mean μ = 275 and standard deviation σ = 51. Calculate the value of the standard error of the sampling

Answer 1

The standard error of the sampling, calculated from a population with a standard deviation of 51 and a sample size of 96, is approximately 5.20.

Step-by-step explanation:

The standard error of the sampling distribution is a measure of how much the sample means vary from the population mean. It is calculated as the standard deviation of the population (σ) divided by the square root of the sample size (n). In this case, with a population standard deviation (σ) of 51 and a sample size (n) of 96, the standard error (SE) is calculated as follows:

SE = σ / √ n

SE = 51 / √ 96

SE = 51 / 9.8

SE = 5.20408163265

The value of the standard error of the sampling in this case is approximately 5.20.