The range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution is M = 39 to M = 43. What is the mean of the sampling distribution, and what is the standard error?

Mean = 41

Standard error = 2

Step-by-step explanation:

given that the range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution is M = 39 to M = 43.

This means that Mean ranges from 39 to 43 the lowest value is 39 and highest value is 43.

Since mean falls within 1  std error of the mean we can say

that mean= average of 39 and 43 = 41

Std error = Higher mean - mean= mean - lower mean= 2

So we find that

Mean = 41

Standard error = 2

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: