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The mean of a population being sampled is 64, and and the standard deviation is 6.

If the sample size is 50, the standard error of the mean is

. (Round off your answer to the nearest hundredth.)

The standard error of the mean is 0.85

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The mean of the distribution of sample means is called the expected

value of M

- It is equal to the population mean μ

- The standard deviation of the distribution of sample means is called

the standard error of M

- The rule of standard error is σM = σ/√n, where σ is the standard

deviation and n is the size of the sample

* lets solve the problem

- The mean of a population being sampled is 64

∴ μ = 64

- The standard deviation is 6

∴ σ = 6

- The sample size is 50

∴ n = 50

∵ The standard error is σM = σ/√n

∴ The standard error is σM = 6/√50 = 0.8485

* The standard error of the mean is 0.85