Calculate the sampling distribution parameters U=80,O=10,s=8,n=25
To calculate the sampling distribution parameters for a given sample, you can use the following formulas:
1. Mean (μ):
The mean of the sampling distribution is equal to the population mean (µ). In this case, μ = U = 80.
2. Standard Deviation (σ):
The standard deviation of the sampling distribution, also known as the standard error, can be calculated by dividing the population standard deviation (σ) by the square root of the sample size (n). In this case, σ = O = 10 and n = 25. Therefore, the standard deviation of the sampling distribution is:
σ = O / √n = 10 / √25 = 10 / 5 = 2.
3. Standard Error (SE):
The standard error is another term used for the standard deviation of the sampling distribution. Therefore, the standard error in this case is also 2.
To summarize, the sampling distribution parameters for this particular sample are:
Mean (μ) = 80
Standard Deviation (σ) = 2
Standard Error (SE) = 2