A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within 2 of the population mean? a. Since the mean is not given, there is no answer to this question.

b. -0.6826

c. 0.3413

d. 0.6826

e. -0.3413

The correct option is  D

Step-by-step explanation:

From the question we are told that

    The standard deviation is  

     The sample size is  n =  64

The standard error of mean is mathematically evaluated as

substituting values

Generally the probability that the sample mean will be within 2 of the population mean is mathematically represented as

Generally  

So

substituting values

=>    

From the normal distribution table

=>  

=>  

any options?

step-by-step explanation:

step-by-step explanation: