The question is incomplete! The complete question along with answer and explanation is provided below.
Question:
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
a) mean = 41, standard error = 2
b) mean = 39 or 43, standard error = 2
c) mean = 41, standard error = 4
e) the mean and standard error are unknowns
Given Information:
Standard error = 1
Range of values = 39 to 43
Required Information:
Mean and standard error = ?
Answer:
Mean is 41 and Standard error is 2
Explanation:
We know that the mean and standard error are related as
s = μ + (1)ο
s = μ - (1)ο
43 = μ + (1)ο
39 = μ - (1)ο
option (a) satisfies the above equations
43 = 41 + (1)2
43 = 43
39 = 41 - (1)2
39 = 39
Therefore, the correct option is (a)
Mean is 41 and standard error is 2
