Question

population mean =72 and standard deviation =10, what is standard error of distribution of sample means for n=4 and n=25

Answer 1

The standard error of distribution for n = 4 is 5 and for n = 25 is 2.

Explanation:

1. Let's review the information given to us for solving the question:

Population mean = 72

Standard deviation = 10

Sample₁ = 4

Sample₂ = 25

2. For finding the standard error of the mean, we use the following formula:

Standard error = Standard deviation / √Size of the sample

Standard error for Sample₁ = 10/√4

Standard error for Sample₁ = 10/2 = 5

Now, let's find the standard error for Sample₂

Standard error for Sample₂ = 10/√25

Standard error for Sample₂ = 10/5 = 2