The population mean annual salary for environmental compliance specialists is about $62,000. a random sample of 32 specialists is drawn from this population. what is the probability that the mean salary of the sample is less than $59,000? assume σ=$6,200.

0.002718

Step-by-step explanation:

Given : The population mean annual salary for environmental compliance specialists is about $62,000.

i.e.  

Sample size : n= 32

Let x be the random variable that represents the annual salary for environmental compliance specialists.

Using formula , the z-value corresponds to x= 59000 will be :

Now, by using the standard normal z-table , the probability that the mean salary of the sample is less than $59,000 :-

Hence, the probability that the mean salary of the sample is less than $59,000= 0.002718

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