A normally distributed population has a mean of 500 and a standard deviation of 60. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 515.

The value is  

Step-by-step explanation:

From the question we are told that

   The mean is  

   The standard deviation is  

    The sample size is  n  =  25

Generally the standard error of mean is mathematically represented as

=>    

=>    

Generally the  probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 515 is  mathematically represented as

Here  

From the z table the probability of  (Z  <  1.25  )

So

So

=>