A researcher selects a sample of 25 participants from a population with a mean of 20 and a standard deviation of 10. What is the range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution?

The range of values for the sample mean is between a lower limit of 19 and an upper limit of 21.

Step-by-step explanation:

sample mean = 20

sd = 10

n = 25

standard error = 1

Lower limit of sample mean = sample mean - standard error = 20 - 1 = 19

Upper limit of sample mean = sample mean + standard error = 20 + 1 = 21

The range of values for the sample mean is between 19 and 21.