The range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution is M39 to M43. What Is the mean of the sampling distribution, and what is the standard error

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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